Properties of the Number 57465

Fifty-Seven Thousand Four Hundred Sixty-Five

Basics

Value: 57464 → 57465 → 57466

Parity: odd

Prime: No

Previous Prime: 57457

Next Prime: 57467

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1277

Divisors: 1, 3, 5, 9, 15, 45, 1277, 3831, 6385, 11493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110000001111001

Octal: 160171

Duodecimal: 29309

Hexadecimal: e079

Square: 3302226225

Square Root: 239.7185850116757

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)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305918

Number of solutions to n = ∑_i=1..π(n-1) c(i)*p(i) with c(i) in {-1,0,1}, p(n) = n-th prime and π = A000720. A215222

Number of varied unrooted labeled trees on n nodes, i.e., trees with unique vertex degree except for the leaves. A274699

Number of 0..n arrays x(0..5) of 6 elements with nondecreasing average value and 0..n occur with instance counts within one of each other. A200945

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305915

Number of nX7 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305917

Repeated terms in A087657 (a(n) = |prime(n)-a(n-1)| + |prime(n)-a(n-2)| + |prime(n)-a(n-3)| ). A87658

Numbers k such that k⁵¹² + 1 is prime. A57465

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value and 0..k occur with instance counts within one of each other. A200942

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255790