162 sats \ 8 replies \ @0xbitcoiner 19h \ on: 145 - what is special about this number? charts_and_numbers
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.
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...
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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 ...
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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...
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(I have a stupid python code running too~~ who knows)
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Oh fuc*! 30 minutes into processing and still nothing... I'm on loop number 1,458,729,293. Canceled ðŸ¤
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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.