Properties of the Number 8504

Eight Thousand Five Hundred Four

Basics

Value: 8503 → 8504 → 8505

Parity: even

Prime: No

Previous Prime: 8501

Next Prime: 8513

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 1063

Divisors: 1, 2, 4, 8, 1063, 2126, 4252, 8504

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100111000

Octal: 20470

Duodecimal: 4B08

Hexadecimal: 2138

Square: 72318016

Square Root: 92.21713506718802

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

Numbers k such that 8·10^k - 49 is prime. A271269

Number of partitions of n into squarefree parts. A73576

Coordination sequence for "pcu-i" 3D uniform tiling. A299277

T(n,k) = Number of length n+5 0..k arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four. A249085

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295357

Total number of parts smaller than the largest part, in all partitions of n. A116686

Number of permutations of {1,...,n} having n-4 inversions (n>=4). A1894

G.f. A(x) satisfies: ∑_n>=0 ( 1/A(x) - 1/(1+x)^2·n )ⁿ = 1. A317801

Expansion of 1/(1 - x + x⁴). A99530

Where records occur in A047160. A155765