Saturday, August 19, 2017

Number of the day: 61618

Properties of the number 61618:

61618 = 2 × 30809 is semiprime and squarefree.
61618 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 30808 totatives.
61618 has a semiprime digit sum 22 in base 10.
61618 is the sum of 2 positive triangular numbers.
61618 is the difference of 2 positive pentagonal numbers in 2 ways.
61618 = 1372 + 2072 is the sum of 2 positive squares in 1 way.
61618 = 432 + 602 + 2372 is the sum of 3 positive squares.
616182 = 240802 + 567182 is the sum of 2 positive squares in 1 way.
616182 is the sum of 3 positive squares.
61618 is a proper divisor of 73851 - 1.
61618 = '6' + '1618' is the concatenation of 2 semiprime numbers.
61618 is an emirpimes in (at least) the following bases: 4, 6, 9, 11, 13, 16, 22, 23, 25, 32, 35, 37, 44, 54, 56, 59, 60, 68, 73, 74, 76, 77, 88, 89, 97, and 100.
61618 is palindromic in (at least) the following bases: 41, and 49.
61618 in base 7 = 344434 and consists of only the digits '3' and '4'.
61618 in base 41 = aQa and consists of only the digits 'Q' and 'a'.
61618 in base 49 = PWP and consists of only the digits 'P' and 'W'.
61618 in base 55 = KKI and consists of only the digits 'I' and 'K'.
61618 in base 58 = IIM and consists of only the digits 'I' and 'M'.

The number 61618 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A187858: Number of 3-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions

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