Today's Favorite Mega Number

MattcAnderson · 2021-06-10, 17:01

A favorite mega number must be a whole number greater than one million.

If you want to go down this rabbit hole,

see Matt Parker and Brady Herron on YouTube

Search YouTube.com for "Stand Up Maths" or "Singing Banana.

easy click - https://www.youtube.com/results?sear...stand+up+maths

So today, we have 1,754,847. Chosen for an arbitrary reason. It ends in 7 so it is not divisible by 2 or 5. It is less than two million, and to me,

17 is strong because it sounds like 'save a team'.

So, thanks to Maple - computer algebra system, we see that

This C7, that is seven digit composite number, namely 1,754,847 factors as

3 * 3 * 73 * 2671.

That is, a P1, another P1, a P2 and a P4 : -- )

Just count the digits.

Good Fun.

Regards,
Matt

MattcAnderson · 2021-06-12, 06:20

Hi again all

My new favorite Mega number is

1,249,281

and, thankfully, due to Maple, computer algebra system, we see a prime factorization, so

ifactor(1,249,281) is 3*3*11*12619. Very Interesting

Cheers,

Matt

MattcAnderson · 2021-06-12, 06:28

And another one

due to factordb.com

changed one digit from the other one

it is true that

9249281 = 137 · 181 · 373

Regards,

Matt

MattcAnderson · 2021-06-12, 07:47

Matt here,

with another fun Mega number, starting with one

computer tool - Maple tells me that

ifactor(1,934,582);

is

(2) (13) (37) (2011)

Ah yess, 2011 a very good year for music.

We remember that Adele sang "Someone Like You"

Still Fun.

Matt

MattcAnderson · 2021-06-12, 08:43

Starting from the middle and using year numbers

we have

2021 = 43*47

see Michael Penn discuss a Putnam exam question

https://www.youtube.com/watch?v=gn9ePie41xk

also

2019 = 3*673

and

2021*2019 = 4,080,399.

so

ifactor(4,080,399) is 3*43*47*673.

again Maple, the wonderful computer algebra system did all the heavy lifting, I mean factoring.

Fun for me, and you, fine reader.

Matt

MattcAnderson · 2021-06-12, 12:51

Hi again all,

This is a new day, and we have a new number

Again, our tool of choice is Maple, a fully capable computer algebra system.

We see that

ifactor(2,295,147) = 3*23*29*31*37.

We have a fairly large Composite number that factors so some relatively small Prime numbers.

Specifically a C7 (seven digit composite number) - factors to a P1 and four P2.

We say that 2,295,147 is 37-smooth because 37 is the greatest prime divisor of our C7.

More fun every day.

Regards,

Matt

MattcAnderson · 2021-06-12, 21:31

Hi again all

This is still a lot of fun for me.

As before, Maple - a super duper computer algebra system, was used.

We see that

ifactor(1826527) is 383* 251*19

so 1,832,527 is 383-smooth.

And, indeed, every positive integer is something-smooth.

Regards,
Matt

Viliam Furik · 2021-06-12, 21:34

Quote:

Originally Posted by MattcAnderson

see Matt Parker and ~~Brady Herron~~ on YouTube

His name is Brady Haran, FYI.

Batalov · 2021-06-12, 22:18

Thank you Matt!

And thank you for the upcoming 8,999,994 more posts, that will surely follow (we have no doubts).
Please stick to your own rules and post no more than 1 of these "Today's" posts per day.
So far you have failed to uphold your own standard. We are disappointed.

axn · 2021-06-13, 02:18

Brady is the producer of Numberphile (and many other ) channel.

Singing Banana is Prof. James Grime.

FYI.

LaurV · 2021-06-13, 04:34

We love Zvezdelina! Our favorite teacher EVER!

2021-06-10, 17:01	#1
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 1101₁₀ Posts	Today's Favorite Mega Number A favorite mega number must be a whole number greater than one million. If you want to go down this rabbit hole, see Matt Parker and Brady Herron on YouTube Search YouTube.com for "Stand Up Maths" or "Singing Banana. easy click - https://www.youtube.com/results?sear...stand+up+maths So today, we have 1,754,847. Chosen for an arbitrary reason. It ends in 7 so it is not divisible by 2 or 5. It is less than two million, and to me, 17 is strong because it sounds like 'save a team'. So, thanks to Maple - computer algebra system, we see that This C7, that is seven digit composite number, namely 1,754,847 factors as 3 * 3 * 73 * 2671. That is, a P1, another P1, a P2 and a P4 : -- ) Just count the digits. Good Fun. Regards, Matt Last fiddled with by MattcAnderson on 2021-06-12 at 21:39 Reason: added the word 'count'

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2021-06-12, 06:20	#2
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 10001001101₂ Posts	Hi again all My new favorite Mega number is 1,249,281 and, thankfully, due to Maple, computer algebra system, we see a prime factorization, so ifactor(1,249,281) is 3311*12619. Very Interesting Cheers, Matt

2021-06-12, 06:28	#3
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 1101₁₀ Posts	And another one due to factordb.com changed one digit from the other one it is true that 9249281 = 137 · 181 · 373 Regards, Matt

2021-06-12, 07:47	#4
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 3×367 Posts	Matt here, with another fun Mega number, starting with one computer tool - Maple tells me that ifactor(1,934,582); is (2) (13) (37) (2011) Ah yess, 2011 a very good year for music. We remember that Adele sang "Someone Like You" Still Fun. Matt

2021-06-12, 08:43	#5
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 3×367 Posts	Starting from the middle and using year numbers we have 2021 = 4347 see Michael Penn discuss a Putnam exam question https://www.youtube.com/watch?v=gn9ePie41xk also 2019 = 3673 and 20212019 = 4,080,399. so ifactor(4,080,399) is 34347673. again Maple, the wonderful computer algebra system did all the heavy lifting, I mean factoring. Fun for me, and you, fine reader. Matt

2021-06-12, 12:51	#6
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 3×367 Posts	Hi again all, This is a new day, and we have a new number Again, our tool of choice is Maple, a fully capable computer algebra system. We see that ifactor(2,295,147) = 323293137. We have a fairly large Composite number that factors so some relatively small Prime numbers. Specifically a C7 (seven digit composite number) - factors to a P1 and four P2. We say that 2,295,147 is 37-smooth because 37 is the greatest prime divisor of our C7. More fun every day. Regards, Matt

2021-06-12, 21:31	#7
MattcAnderson "Matthew Anderson" Dec 2010 Oregon, USA 44D₁₆ Posts	Hi again all This is still a lot of fun for me. As before, Maple - a super duper computer algebra system, was used. We see that ifactor(1826527) is 383* 251*19 so 1,832,527 is 383-smooth. And, indeed, every positive integer is something-smooth. Regards, Matt

2021-06-12, 22:18	#9
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 10011001011111₂ Posts	Thank you Matt! And thank you for the upcoming 8,999,994 more posts, that will surely follow (we have no doubts). Please stick to your own rules and post no more than 1 of these "Today's" posts per day. So far you have failed to uphold your own standard. We are disappointed.

2021-06-13, 02:18	#10
axn Jun 2003 14EF₁₆ Posts	Brady is the producer of Numberphile (and many other ) channel. Singing Banana is Prof. James Grime. FYI.

2021-06-13, 04:34	#11
LaurV Romulan Interpreter "name field" Jun 2011 Thailand 2×17×293 Posts	We love Zvezdelina! Our favorite teacher EVER!