145 - what is special about this number? \ stacker news ~charts_and

145 - what is special about this number?

333 sats \ 19 comments \ @south_korea_ln 17h charts_and_numbers

Answer will be given in the comments...

Strong Number: 1! + 4! + 5! = 1 + 24 + 120 = 145

https://www.hackerearth.com/problem/algorithm/strong-number-2-e71bae03-13ed4908/#:~:text=Problem%20Statement%3A,is%20equal%20to%20number%20itself.&So%2C%20145%20is%20a%20Strong%20number.

23 sats \ 4 replies \ @south_korea_ln OP 17h

We got a winner here... sometimes also referred to as a Peterson Number.

10,000 sats for anyone finding a strong number larger than 531,441...

21 sats \ 3 replies \ @0xbitcoiner 17h

I wrote a C# program to do some calculations and it's been crunching numbers for a while now. It's up to 174,410,368, but still no luck. I'll let it keep going. 🤠 it's exponential ...

35 sats \ 2 replies \ @south_korea_ln OP 16h

To be fair, if you find a bigger number, don't share it here. You might be able to publish it in a journal... afaik, 531,441 is the largest known strong number.

Some smart tricks are probably required to check large numbers beyond what has been checked up to now...

23 sats \ 1 reply \ @south_korea_ln OP 16h

(I have a stupid python code running too~~ who knows)

11 sats \ 0 replies \ @0xbitcoiner 16h

Oh fuc*! 30 minutes into processing and still nothing... I'm on loop number 1,458,729,293. Canceled 🤠

72 sats \ 2 replies \ @jst 13h

Composite Number: 145 is not a prime number; it can be factored into 5×295×29. Divisors: The divisors of 145 are 1, 5, 29, and 145 itself. Deficient Number: The sum of its proper divisors (1 + 5 + 29 = 35) is less than the number itself, categorizing it as a deficient number. Pentagonal Number: It is recognized as a pentagonal number for n=10n=10.

0 sats \ 1 reply \ @south_korea_ln OP 10h

Indeed. Several valid answers. Cfr #693100

0 sats \ 0 replies \ @jst 6h

Thanks

135 sats \ 3 replies \ @Satosora 17h

2,458,333 2!+4!+5!+8!+3!+3!=2+24+120+40,320+6+6=2,458,333

20 sats \ 2 replies \ @south_korea_ln OP 17h

2+24+120+40,320+6+6=2,458,333

Nice try ;)

0 sats \ 1 reply \ @Satosora 17h

what do you mean? Nevermind, you are right. Strongest number you can achieve is 40585.

20 sats \ 0 replies \ @south_korea_ln OP 17h

I don't think your sum is correct...

import math

number = 2458333

sum_of_factorials = sum(math.factorial(int(digit)) for digit in str(number))
print(sum_of_factorials, number == sum_of_factorials)

21 sats \ 3 replies \ @Undisciplined 17h

It's the only number who's prime factorization is 5*29.

Looking forward to the real answer.

29 sats \ 2 replies \ @south_korea_ln OP 17h

Technically correct too. As well as @Satosora's answer above. This reminds me of another math meme... let me try to find it and post it if I do.

30 sats \ 1 reply \ @south_korea_ln OP 10h

#693100

0 sats \ 0 replies \ @Undisciplined 10h

I saw it. I agreed with your answer, but didn't have anything clever to add.

35 sats \ 0 replies \ @nichro 15h

There's only one like it <3

0 sats \ 0 replies \ @Satosora 17h

Angel number? Angel-Confirmation Number 145 is a message that you are to not worry or concern yourself with whatever others are doing.