Sunday, May 27, 2018

Number of the day: 27627

Properties of the number 27627:

27627 is a cyclic number.
27627 = 3 × 9209 is semiprime and squarefree.
27627 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 18416 totatives.
27627 has a triangular digit product 1176 in base 10.
27627 = 138142 - 138132 = 46062 - 46032 is the difference of 2 nonnegative squares in 2 ways.
27627 is the difference of 2 positive pentagonal numbers in 1 way.
27627 = 52 + 412 + 1612 is the sum of 3 positive squares.
276272 = 107732 + 254402 is the sum of 2 positive squares in 1 way.
276272 is the sum of 3 positive squares.
27627 is a proper divisor of 791151 - 1.
27627 is an emirpimes in (at least) the following bases: 3, 9, 12, 17, 18, 19, 21, 24, 25, 26, 28, 29, 30, 34, 36, 37, 41, 46, 61, 62, 71, 73, 81, 88, 91, 92, 97, and 99.
27627 is palindromic in (at least) base 2.

The number 27627 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A111519: Sequence is {a(1,n)}, where a(m,n) is defined at sequence A111518.
A211389: a(n) is the first occurrence of n in sequence A209266.

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