Properties of the Number 57764

Fifty-Seven Thousand Seven Hundred Sixty-Four

Basics

Value: 57763 → 57764 → 57765

Parity: even

Prime: No

Previous Prime: 57751

Next Prime: 57773

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 2063

Divisors: 1, 2, 4, 7, 14, 28, 2063, 4126, 8252, 14441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000110100100

Octal: 160644

Duodecimal: 29518

Hexadecimal: e1a4

Square: 3336679696

Square Root: 240.34142381204285

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

Expansion of e.g.f. (1/6) * ( log(1 + x) / (1 - x) )³. A389002

Frobenius number of the numerical semigroup generated by three consecutive pentagonal numbers. A69757

Number of n X 4 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201371

Sum of a(n) terms of 1/k^8/9 first exceeds n. A56185

Least integer k such that prime(k+1) - prime(k) = 2 and prime(k+2) - prime(k+1) = 2n, or 0 if no such k exists. A280941

Triangle read by rows: T(0,0) = 1, T(n,0) = 0 for n > 0; T(n,k) = (1/(k-1)!) * ∑_j=k..n binomial(n,j) * Stirling1(j,k) * (n-j+k-1)!, 0 <= k <= n. A389008

Triangle T(n,k) = number of nonzero elements of multiplicative order k in Galois field GF(2ⁿ) (n >= 1, 1 <= k <= 2ⁿ-1). A57764