Wednesday, October 19, 2016

Number of the day: 71771

Properties of the number 71771:

71771 = 7 × 10253 is semiprime and squarefree.
71771 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 61512 totatives.
71771 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 71771 results in an emirpimes.
71771 = 358862 - 358852 = 51302 - 51232 is the difference of 2 nonnegative squares in 2 ways.
71771 is the difference of 2 positive pentagonal numbers in 2 ways.
71771 = 112 + 192 + 2672 is the sum of 3 positive squares.
717712 = 246752 + 673962 is the sum of 2 positive squares in 1 way.
717712 is the sum of 3 positive squares.
71771 is a divisor of 193122 - 1.
71771 is an emirpimes in (at least) the following bases: 3, 5, 6, 10, 11, 15, 24, 31, 32, 33, 34, 39, 43, 46, 48, 53, 55, 56, 61, 64, 67, 68, 74, 85, 87, 88, 91, 93, and 94.
71771 is palindromic in (at least) the following bases: 78, and 80.
71771 consists of only the digits '1' and '7'.

The number 71771 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A079465: Numbers n such that the "inventory" A063850 of n is a perfect square.
A107287: a(n) = a(n-1)+a(n-2)-a(n-3)+a(n-5), n>7.

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