MathBabbler finished processing a box of

523pencils on 13 December 2014.MathBabbler Number Analyst (MBNA) output: ========================================= 523 is a natural, whole, integer 523 is odd 523 proper divisors are: 1, 523 has 1 proper divisors 523 is deficient (sum of divisors is 1; ratio: 0.00191205) 523 is unhappy 523 is a Squarefree Number 523 is prime (not composite) ...Twin prime with 521 ...OEIS:002145 (4n+3; n=130) ...Left-truncatable 523 is the sum of 7 consecutive primes 523 = 61 + 67 + 71 + 73 + 79 + 83 + 89 523 in octal is 01013 523 in hexadecimal is 0x20b 523 in binary is 1000001011 (is evil) 523 nearest square numbers: -39...6 (484...529 [23]) sqrt(523) = 22.8692 ln(523) = 6.25958 log(523) = 2.7185 523 reciprocal is .00191204588910133843212237093690 523! is 2.50484e+1196 523 is 166.476 Pi years 523 is 26 score and 3 years 523 written as a Roman numeral is DXXIII 523 is 262^2 - 261^2 and 262 + 261 = 523

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log_{10}(523)e= 0.000219860408229. In other words, the common logarithm of`provides a good approximation of the mathematical constant`

523e.

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 13 December 2014 (posted 14 December 2014)

This work is licensed under a Creative Commons Attribution 3.0 United States License.