Properties of the Number 57389

Fifty-Seven Thousand Three Hundred Eighty-Nine

Basics

Value: 57388 → 57389 → 57390

Parity: odd

Prime: Yes

Previous Prime: 57383

Next Prime: 57397

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 57389

Divisors: 1, 57389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000101101

Octal: 160055

Duodecimal: 29265

Hexadecimal: e02d

Square: 3293497321

Square Root: 239.5600133578223

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

Number of 3's in the last section of the set of partitions of n. A182713

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)², where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296253

Number of n X 7 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280553

Primes p such that (p⁵¹² + 1)/2 is prime. A341264

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280554

Low-temperature partition function expansion for hexagonal lattice (Potts model, q=4). A57389

Triangle read by rows: expansion of p(x,n)=If[n == 0, 1, (x + 1)ⁿ + 2ⁿ⁺¹*Sum[Binomial[n-m, m]*x^m*(1 + x^{n - 2·m}), {m, 1, n - 1}]]. A146774