Properties of the Number 76630

Seventy-Six Thousand Six Hundred Thirty

Basics

Value: 76629 → 76630 → 76631

Parity: even

Prime: No

Previous Prime: 76607

Next Prime: 76631

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 79 × 97

Divisors: 1, 2, 5, 10, 79, 97, 158, 194, 395, 485

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101101010110

Octal: 225526

Duodecimal: 3841A

Hexadecimal: 12b56

Square: 5872156900

Square Root: 276.8212419594999

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

T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal. A232335

Triangle read by rows, T(n,k) = ∑_j=0..n-k+1 C(n-1,j-1)*T(n-j,k-1) if k ≠ 0 else 1, n>=0, 0<=k<=n. A256894

Expansion of g.f. 1/((1-x)*(1-2·x)*(1-3·x)*(1-5·x)). A21024

Number of nX4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal. A232331

Number of 7Xn 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal. A232341

a(n) is the smallest number such that product of first n terms is strictly greater than n-th power of a(n-1) starting with a(1)=1. A76630