Properties of the Number 65504

Sixty-Five Thousand Five Hundred Four

Basics

Value: 65503 → 65504 → 65505

Parity: even

Prime: No

Previous Prime: 65497

Next Prime: 65519

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 23 × 89

Divisors: 1, 2, 4, 8, 16, 23, 32, 46, 89, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111100000

Octal: 177740

Duodecimal: 31AA8

Hexadecimal: ffe0

Square: 4290774016

Square Root: 255.93749236874226

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

Second-order Eulerian numbers: a(n) = 2ⁿ - 2·n. A5803

Stella octangula numbers: a(n) = n*(2·n² - 1). A7588

a(n) = 4ⁿ - 4·n. A107584

Numbers whose binary representation is the concatenation of 2n-1 digits 1 and n-1 digits 0. A147590

The difference between number of even and number of odd Grassmannian permutations of size n. A356185

Compound filter (summands of A004001 & summands of A005185): a(n) = P(A286541(n), A286559(n)), where P(n,k) is sequence A000027 used as a pairing function, with a(1) = a(2) = 0. A286560

Expansion of (1-x)^-1/(1 - x - 2·x² + 2·x³). A77866

E.g.f.: (e^x - x)². A130102

Number of partitions of n containing no part i of multiplicity i-1. A277102

Sequence S with property that for n in S, a(n) = a(1) + a(2) +...+ a(n-1) and for n not in S, a(n) = n+1. A121173