Properties of the Number 57397

Fifty-Seven Thousand Three Hundred Ninety-Seven

Basics

Value: 57396 → 57397 → 57398

Parity: odd

Prime: Yes

Previous Prime: 57389

Next Prime: 57413

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 57397

Divisors: 1, 57397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110000000110101

Octal: 160065

Duodecimal: 29271

Hexadecimal: e035

Square: 3294415609

Square Root: 239.57671005337727

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

Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6·n. A52357

Primes that are a concatenation of 5, 7 and a prime. A101249

Primes of the form abs(1/(36)(n⁶ - 126n⁵ + 6217n⁴ - 153066n³ + 1987786n² - 13055316n + 34747236)) in order of increasing nonnegative n. A272555

a(n) = (n⁶ - 126·n⁵ + 6217·n⁴ - 153066·n³ + 1987786·n² - 13055316·n + 34747236)/36. A121888

Number of (n+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250722

Number of (n+1)X(7+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250728

Number of (7+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250736

First of a sequence of exactly n consecutive primes whose squares have the same last digit. A366310

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250729

Low-temperature partition function expansion for honeycomb net (Potts model, q=4). A57397