Thursday, May 24, 2018

Number of the day: 68711

Properties of the number 68711:

68711 is a cyclic number.
68711 and 68713 form a twin prime pair.
68711 has 15 antidivisors and 68710 totatives.
68711 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 68711 results in a sphenic number.
68711 = 343562 - 343552 is the difference of 2 nonnegative squares in 1 way.
68711 is the difference of 2 positive pentagonal numbers in 1 way.
68711 is not the sum of 3 positive squares.
687112 is the sum of 3 positive squares.
68711 is a proper divisor of 736871 - 1.
68711 = '6' + '8711' is the concatenation of 2 semiprime numbers.
68711 is an emirp in (at least) the following bases: 5, 6, 11, 25, 29, 31, 33, 34, 41, 44, 51, 81, 83, 86, and 93.
68711 is palindromic in (at least) the following bases: 54, and -46.
68711 in base 45 = Xff and consists of only the digits 'X' and 'f'.
68711 in base 53 = OON and consists of only the digits 'N' and 'O'.
68711 in base 54 = NUN and consists of only the digits 'N' and 'U'.

The number 68711 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A122712: Least prime P of a quartet of 4 different primes with 2 pairs of twin primes, the first pair of twin primes P and P+2, the second one Q and Q+2 with Q such that all digits are the same as P if not 6 or 9 and if 6 then replace with 9 if 9 replace with 6.

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