Properties of the Number 78731

Seventy-Eight Thousand Seven Hundred Thirty-One

Basics

Value: 78730 → 78731 → 78732

Parity: odd

Prime: No

Previous Prime: 78721

Next Prime: 78737

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 131 × 601

Divisors: 1, 131, 601, 78731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001110001011

Octal: 231613

Duodecimal: 3968B

Hexadecimal: 1338b

Square: 6198570361

Square Root: 280.5904488752245

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

a(n) = 4·3ⁿ-1. A171498

Rectangular companion array to M(n,k), given in A239126, showing the end numbers N(n, k), k >= 1, for the Collatz operation (ud)ⁿ, n >= 1, ending in an odd number, read by antidiagonals. A239127

Number of α-β evaluations in a tree of depth n and branching factor b=3. A60647

Array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = (3/2)*(3^k - 1) + A265159(n,k), n,k >= 1. A265161

The number of unordered binary trees that contain n distinct subtrees. A255841

Expansion of g.f.: (1 + x - 2·x² + 2·x⁴)/((1-x)*(1-3·x²)). A358027

Clique number of commuting graph of symmetric group S_n. A135908

Clique number of commuting graph of alternating group A_n. A135909

Expansion of (1+3·x+5·x²-x³)/((1-x²)*(1-3·x²)). A220944

Number of non-equivalent ways to place 5 non-attacking ferses on an n X n board. A278684