Properties of the Number 8512

Eight Thousand Five Hundred Twelve

Basics

Value: 8511 → 8512 → 8513

Parity: even

Prime: No

Previous Prime: 8501

Next Prime: 8513

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 7 × 19

Divisors: 1, 2, 4, 7, 8, 14, 16, 19, 28, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101000000

Octal: 20500

Duodecimal: 4B14

Hexadecimal: 2140

Square: 72454144

Square Root: 92.26050075736637

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 nonintersecting (or self-avoiding) rook paths joining opposite corners of an n X n grid. A7764

E.g.f.: exp( ∑_n>=1 A000108(n-1)*xⁿ/n ), where A000108(n) = binomial(2·n,n)/(n+1) forms the Catalan numbers. A243953

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3). A24312

Total number of prime parts in all partitions of n. A37032

Square array read by antidiagonals of self-avoiding rook paths joining opposite corners of n X k board. A64298

Numbers k such that σ(x) = k has exactly 7 solutions. A60663

Twice octagonal numbers: 2·n*(3·n-2). A139267

Products of the 6th power of a prime and 2 distinct primes (p⁶*q·r). A179672

T(n,k)=Number of nondecreasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero. A188211

a(n) = n³ * ∑_{p∣n, p prime} 1/p³. A351242