Properties of the Number 57205

Fifty-Seven Thousand Two Hundred Five

Basics

Value: 57204 → 57205 → 57206

Parity: odd

Prime: No

Previous Prime: 57203

Next Prime: 57221

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 17 × 673

Divisors: 1, 5, 17, 85, 673, 3365, 11441, 57205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111101110101

Octal: 157565

Duodecimal: 29131

Hexadecimal: df75

Square: 3272412025

Square Root: 239.17566765873153

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

Composite numbers k of the form 4u+1 for which the odd part of φ(k) divides k-1. A339870

Expansion of (∏_k>0 (1 - x^5·k) / (1 - x^k))⁵ in powers of x. A285928

Strong pseudoprimes to base 13. A20239

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)*(n+4)/4! * xⁿ * (1 + xⁿ)ⁿ. A326005

Odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 5 (mod m), where U(m) and V(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=5 and b=-1, respectively. A337628

Floor[ concatenation of n+2, n+1 and n divided by 3 ]. A75004

Number of zero-sum -n..n arrays of 4 elements with first through third differences also in -n..n. A202512

Number of n X 4 0..2 arrays with no element equal to any value at offset (-1,0) (0,-1) or (-2,-2) and new values introduced in order 0..2. A274854

Generalized Euler numbers O_n^+(2). A7976

T(n,k) = Number of n X k 0..2 arrays with no element equal to any value at offset (-1,0) (0,-1) or (-2,-2) and new values introduced in order 0..2. A274858