Properties of the Number 96956

Ninety-Six Thousand Nine Hundred Fifty-Six

Basics

Value: 96955 → 96956 → 96957

Parity: even

Prime: No

Previous Prime: 96953

Next Prime: 96959

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 24239

Divisors: 1, 2, 4, 24239, 48478, 96956

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101010111100

Octal: 275274

Duodecimal: 48138

Hexadecimal: 17abc

Square: 9400465936

Square Root: 311.37758429276823

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 (undirected) paths in the m X n king graph (triangle read by rows with m = 1..n and n = 1..). A307026

a(n) = s(2·n) where s(0) = 0, s(1) = s(2) = 1, s(n) = abs(∑_k=2..n-1 (-1)^k * s(n-k) * s(k)). A72851

Absolute row sums of triangle A104967. A104968

Number of (undirected) paths in the 3 X n king graph. A339751

G.f. satisfies A(x) = (1 + x)³ + x·A(x)². A366695

Number of (undirected) paths in the 4 X n king graph. A358626

Number of n X 4 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302318

Number of 7Xn 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302328

Pascal (1,6) triangle. A96956

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302322