Wednesday, January 2, 2019

Number of the day: 69759

Properties of the number 69759:

69759 = 32 × 23 × 337 is the 62844th composite number and is not squarefree.
69759 has 3 distinct prime factors, 12 divisors, 23 antidivisors and 44352 totatives.
69759 has a triangular digit sum 36 in base 10.
69759 = 348802 - 348792 = 116282 - 116252 = 38802 - 38712 = 15282 - 15052 = 5402 - 4712 = 2722 - 652 is the difference of 2 nonnegative squares in 6 ways.
69759 is the difference of 2 positive pentagonal numbers in 2 ways.
69759 is not the sum of 3 positive squares.
697592 = 362252 + 596162 is the sum of 2 positive squares in 1 way.
697592 is the sum of 3 positive squares.
69759 is a proper divisor of 101342 - 1.
69759 = '6' + '9759' is the concatenation of 2 semiprime numbers.
69759 is palindromic in (at least) the following bases: 42, -59, -63, -90, and -93.
69759 in base 42 = dMd and consists of only the digits 'M' and 'd'.
69759 in base 62 = I99 and consists of only the digits '9' and 'I'.

The number 69759 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A193391: Wiener index of a benzenoid consisting of a spiral chain of n hexagons (s=1; see the Gutman et al. reference).

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