Properties of the Number 8316

Eight Thousand Three Hundred Sixteen

Basics

Value: 8315 → 8316 → 8317

Parity: even

Prime: No

Previous Prime: 8311

Next Prime: 8317

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 9, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001111100

Octal: 20174

Duodecimal: 4990

Hexadecimal: 207c

Square: 69155856

Square Root: 91.19210492142398

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 inequivalent ways (mod D₄) a pair of checkers can be placed on an n X n board. A14409

Number of triangular regions in regular n-gon with all diagonals drawn. A62361

a(n) = ∏_k>=0 (1 + floor(n/2^k)). A132269

a(n) = n³ + (n+1)³ + (n+2)³. A27602

Numbers k such that σ(x) = k has exactly 8 solutions. A60664

Triangular matrix, read by rows, that satisfies: T(n,k) = [T²](n-1,k) when n>k>=0, with T(n,n) = (n+1). A102086

Expansion of log(1+x)*log(1+tan(x)). A9422

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,6). The p-th row (p>=1) contains a(i,p) for i=1 to 6·p-5, where a(i,p) satisfies ∑_i=1..n C(i+5,6)^p = 7·C(n+6,7) * ∑_i=1..6·p-5 a(i,p) * C(n-1,i-1)/(i+6). A87110

Weighted count of partitions with distinct parts. A5895

Array read by antidiagonals: T(n,k) = number of primitive (aperiodic) reversible strings of length n using a maximum of k different symbols. A284871