Properties of the Number 8476

Eight Thousand Four Hundred Seventy-Six

Basics

Value: 8475 → 8476 → 8477

Parity: even

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 13 × 163

Divisors: 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100011100

Octal: 20434

Duodecimal: 4AA4

Hexadecimal: 211c

Square: 71842576

Square Root: 92.06519429187124

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

Generalized 28-gonal (or icosioctagonal) numbers: m*(13·m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ... A303812

a(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

28-gonal numbers: a(n) = n*(13·n - 12). A161935

T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201033

Convolution of A000010 with itself. A65093

a(n) = (1/4) * ∑_k=0..n (k+2) * 2^n-k * binomial(2·k+2,2·n-2·k+1). A391835

a(n) = n + (n+1)² + (n+2)³ + (n+3)⁴ + (n+4)⁵. A27622

G.f.: A(x) = exp( ∑_n>=1 [ Dⁿ x/(1-x)² ]ⁿ/n ), where differential operator D = x·d/dx. A159596

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood. A270160

a(n) = (n/4)*(n³+2·n²+5·n+8). A334694