Properties of the Number 87743

Eighty-Seven Thousand Seven Hundred Forty-Three

Basics

Value: 87742 → 87743 → 87744

Parity: odd

Prime: Yes

Previous Prime: 87739

Next Prime: 87751

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 87743

Divisors: 1, 87743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101011010111111

Octal: 253277

Duodecimal: 4293B

Hexadecimal: 156bf

Square: 7698834049

Square Root: 296.2144493437145

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of ways to split a strict composition of n into contiguous subsequences all having the same sum. A336130

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A316424

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A316427

Series expansion of (-3 - 2·x)/(1 + x - x³) in powers of x. A78712

Perfect square roots: numbers n such that (sopfr(n)*d(n))² = σ(n) where sopfr = sum of prime factors with multiplicity (A001414), d(n) = number of divisors of n, σ(n) = sum of divisors of n. A126028

The smallest positive k such that ( sopfr(k)*τ(k) )ⁿ = σ(k) where sopfr is the sum of prime factors with multiplicity (A001414). A126029

Numbers m >= 3 with property that the remainder when m is divided by k (for 3 <= k <= m-2) is not 1. A87743