Properties of the Number 8616

Eight Thousand Six Hundred Sixteen

Basics

Value: 8615 → 8616 → 8617

Parity: even

Prime: No

Previous Prime: 8609

Next Prime: 8623

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 359

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 359, 718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10000110101000

Octal: 20650

Duodecimal: 4BA0

Hexadecimal: 21a8

Square: 74235456

Square Root: 92.82241108697835

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

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ ∑_k>=0 y^k * R_n·k(y) ]ⁿ for n>=0, with R₀(y)=1. A124550

Numbers k such that 4^k - 2^k - 1 is prime. A98845

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

Row 6 of table A124550; also equals the self-convolution 6th power of A124566, which is row 6 of table A124560. A124556

Array read by antidiagonals: T(m,n) = number of Eulerian cycles in the torus grid graph C_m X C_n. A298117

Number of orbits of length n under a map whose periodic points are counted by A027306. A60172

G.f. A(x) satisfies: 1 = ∑_n>=0 ( 1/(1-x)^3·n - A(x) )ⁿ. A326263

Numbers k for which σ(k - x) + σ(k + x) = 7·k has at least one nonnegative solution. A384840

Expansion of ∑_k>0 (1/(1+x^k)⁴ - 1). A363631

a(n) = ceiling((n + 1/2)³). A34131