Properties of the Number 76495

Seventy-Six Thousand Four Hundred Ninety-Five

Basics

Value: 76494 → 76495 → 76496

Parity: odd

Prime: No

Previous Prime: 76493

Next Prime: 76507

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 15299

Divisors: 1, 5, 15299, 76495

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101011001111

Octal: 225317

Duodecimal: 38327

Hexadecimal: 12acf

Square: 5851485025

Square Root: 276.5772948020137

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 partitions of an n-set without blocks of size 4. A343664

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=4, k=0 and l=1. A176607

Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A239845

a(n) = ∑_k=0..n 3^k * 2^n-k * binomial(3·n+1,k). A386900

T(n,k) = Number of n X k 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A239849

Smallest·such that σ(x) mod x = n, or 0 if no such·exists. A76495