Wednesday, April 17, 2019

Number of the day: 88451

Properties of the number 88451:

88451 = 112 × 17 × 43 is the 79878th composite number and is not squarefree.
88451 has 3 distinct prime factors, 12 divisors, 13 antidivisors and 73920 totatives.
88451 has an emirpimes digit sum 26 in base 10.
88451 = 442262 - 442252 = 40262 - 40152 = 26102 - 25932 = 10502 - 10072 = 4262 - 3052 = 3302 - 1432 is the difference of 2 nonnegative squares in 6 ways.
88451 is the difference of 2 positive pentagonal numbers in 5 ways.
88451 = 12 + 512 + 2932 is the sum of 3 positive squares.
884512 = 416242 + 780452 is the sum of 2 positive squares in 1 way.
884512 is the sum of 3 positive squares.
88451 is a proper divisor of 129110 - 1.
88451 is palindromic in (at least) base 88.
88451 in base 17 = 11010 and consists of only the digits '0' and '1'.

The number 88451 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A063496: a(n) = (2*n-1)*(8*n^2-8*n+3)/3.
A100606: a(n) = n^4 + n^3 + n.
A197351: a(0)=0, a(1)=1, a(2n)=17*a(n), a(2n+1)=a(2n)+1.
A305412: a(n) = F(n)*F(n+1) + F(n+2), where F = A000045 (Fibonacci numbers).

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