Properties of the Number 57413

Fifty-Seven Thousand Four Hundred Thirteen

Basics

Value: 57412 → 57413 → 57414

Parity: odd

Prime: Yes

Previous Prime: 57397

Next Prime: 57427

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 57413

Divisors: 1, 57413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001000101

Octal: 160105

Duodecimal: 29285

Hexadecimal: e045

Square: 3296252569

Square Root: 239.61009995407122

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

Primes of the form abs(-66n³ + 3845n² - 60897n + 251831) in order of increasing nonnegative n. A272438

First member of the least set of 3 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n. A382698

a(n) = A027052(n, 2n-2). A27058

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 4. A49976

Primes p such that sum of squares of even-position digits equals the sum of squares of odd-position digits of p. A76168

Number of staircase polygons of perimeter 2n with any number of (staircase polygon) holes on square lattice (not allowing rotations). A57413