Properties of the Number 8656

Eight Thousand Six Hundred Fifty-Six

Basics

Value: 8655 → 8656 → 8657

Parity: even

Prime: No

Previous Prime: 8647

Next Prime: 8663

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 541

Divisors: 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000111010000

Octal: 20720

Duodecimal: 5014

Hexadecimal: 21d0

Square: 74926336

Square Root: 93.03762679690406

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..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240394

Shifts left when inverse Moebius transform applied twice. A7557

a(n) = ∑_{k=0..floor(n/4)} C(n-3·k,k+1). A98578

Sum of the second largest parts in the partitions of n into 6 squarefree parts. A308910

Binomial convolution of the numbers in sequence A080253. A217486

E.g.f. satisfies: A'(x) = A(x)⁶ * A(-x)² with A(0) = 1. A235372

Expansion of ∑_k>0 x^4·k/(1-x^k)⁴. A363611

Expansion of ∑_k>0 x^4·k/(1+x^k)⁴. A363616

Numbers formed by the rightmost decimal digits of n^nⁿ that are the same as those of n^{n^(nⁿ}). A369624

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape V; triangle T(n,k), n>=0, 0<=k<=max(0,n-2+delta_n,3), read by rows. A247709