About the Number 313 (three hundred thirteen)

The number 313 was the smallest number that was palindromic in base-2 (i.e. 100111001).

Note: This nBAB was created after MathBabbler received an email message from a former about 2015 being the last base-2 palindromic year until 2047.

MathBabbler Number Analyst (MBNA) output:
=========================================
313 is a natural, whole, integer
313 is odd
313 proper divisors are: 1,
313 has 1 proper divisors
313 is deficient (sum of divisors is 1; ratio: 0.00319489)
313 is happy
313 is a Squarefree Number
313 is prime (not composite)
...Cousin prime with 317
...Sexy prime with 307
...Twin prime with 311
...Truman Gerald prime with 283
...Pythagorean
...reversible prime with 313
...Left-truncatable
...Right-truncatable
...prime triplet {307, 311, 313}
...prime triplet {311, 313, 317}
313 is undulating
313 is palindromic
313 is Arithmetic (A003601)
313 in octal is 0471
313 in hexadecimal is 0x139
313 in binary is 100111001 (is odious)(is palindromic)
313 nearest square numbers: -24...11 (289...324 [18])
sqrt(313) = 17.6918
ln(313) = 5.7462
log(313) = 2.49554
313 reciprocal is .00319488817891373801916932907348
313! is 6.57934e+646
313 is 99.631 Pi years
313 is 15 score and 13 years
313 written as a Roman numeral is CCCXIII
313 is 157^2 - 156^2 and 157 + 156 = 313
313 is a multiple of 1 & it contains a 1 (A011531)

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 06 December 2015

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