Properties of the Number 5763

Five Thousand Seven Hundred Sixty-Three

Basics

Value: 5762 → 5763 → 5764

Parity: odd

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 113

Divisors: 1, 3, 17, 51, 113, 339, 1921, 5763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010000011

Octal: 13203

Duodecimal: 3403

Hexadecimal: 1683

Square: 33212169

Square Root: 75.91442550661897

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

a(n) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

Number of palindromic partitions of n. A25065

Number of transitive finitary sets with n brackets. Number of transitive rooted identity trees with n nodes. A279861

Number of Motzkin paths of length n with no level steps at odd level. A90344

Number of partitions of n such that the number of odd parts is not a part and the number of even parts is not a part. A240579

G.f.: 1/((1-x)*(1-x²)*(1-x³)²*(1-x⁴)*(1-x⁵)). A3402

a(n) = 3·n² - n - 1. A144390

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 6 multiples of n-1, n-2, ..., 1. A113743

Number of partitions of n with at most one odd part. A100824

Coefficients of A(x), which satisfies: A(x) = 1 + x·A(x)³ + x²*A(x)⁶. A255673