Properties of the Number 57037

Fifty-Seven Thousand Thirty-Seven

Basics

Value: 57036 → 57037 → 57038

Parity: odd

Prime: Yes

Previous Prime: 56999

Next Prime: 57041

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 57037

Divisors: 1, 57037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111011001101

Octal: 157315

Duodecimal: 29011

Hexadecimal: decd

Square: 3253219369

Square Root: 238.8242031285774

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

Diagonal of the rational function 1/(1 - x - x y - x z - y z + x y z). A274674

The number of trees with 5 nodes labeled by positive integers, where each tree's label sum is n. A301740

Primes p such that A001414(p+1) = A001414(p-1) + 1. A342738

Lexicographically earliest sequence of primes whose partial products lie between noncomposite numbers. A359948

Numbers k such that in the ring Z[sqrt(3)] the norm of (-1+sqrt(3))^k-1 is prime. A67834

Value of C in y = x² + 9x + C such that y is prime for all x = 0 to 5. A97437

Start with the empty list; for k = 1..oo, append to the list the smallest prime of the form k·m³+m+1 with m>0 if such a prime exists, otherwise skip this value of k. A114365

Primes that are exactly between the nearest square and the nearest triangular number. A233443

Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057037(n)=j(2n-1). A57037

n such that the n-th centered 12-gonal number is prime. Indices of prime star numbers. A184899