Properties of the Number 57097

Fifty-Seven Thousand Ninety-Seven

Basics

Value: 57096 → 57097 → 57098

Parity: odd

Prime: Yes

Previous Prime: 57089

Next Prime: 57107

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 57097

Divisors: 1, 57097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100001001

Octal: 157411

Duodecimal: 29061

Hexadecimal: df09

Square: 3260067409

Square Root: 238.949785519887

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

T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nXk array. A219410

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} ( n/gcd(x₁, x₂, x₃, n) )². A372962

Smallest balanced prime of order n. A82080

G.f.: 1/(1-x) = (1-x·y) * ∑_k>=0 ∑_n>=k T(n,k)*xⁿ*y^k/(1+x)^{2ⁿ-2^k}. A172400

Balanced prime number records (A082080). A96266

Primes whose base-6 representation also is the base-3 representation of a prime. A235469

a(n) = number of primes < n⁴. A380331

Primes prime(k) such that prime(k)*k falls between twin primes. A80174

Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nX6 array. A219408

Unmatched value maps: number of 3 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 3 X n array. A219412