Properties of the Number 57314

Fifty-Seven Thousand Three Hundred Fourteen

Basics

Value: 57313 → 57314 → 57315

Parity: even

Prime: No

Previous Prime: 57301

Next Prime: 57329

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 28657

Divisors: 1, 2, 28657, 57314

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111100010

Octal: 157742

Duodecimal: 29202

Hexadecimal: dfe2

Square: 3284894596

Square Root: 239.40342520523802

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 binary vectors of length n containing no singletons. A6355

Number of base 4 n-digit numbers with adjacent digits differing by one or less. A126358

Layer counting sequence for hyperbolic tessellation by cuspidal triangles of angles (π/3,π/3,0) (this is the classical modular tessellation). A54886

Number of n-digit numbers N that do not end with 0 and are such that the reversal of N divides N but is different from N. A214927

Numbers k such that the difference between k-th prime and next prime is 70. A116493

a(n) = τ(n)*Fibonacci(n), where τ(n) = A000005(n), the number of divisors of n. A203847

Expansion of g.f. x*(1+x+x²)/(1-x-x²). A128588

a(n) = ∑_j=0..n ∑_k=0..j A026615(j, k). A26624

a(0) = 1, then twice the Fibonacci sequence. A55389

Row sums of array T in A055818; twice the odd-indexed Fibonacci numbers after initial term. A55819