Properties of the Number 57258

Fifty-Seven Thousand Two Hundred Fifty-Eight

Basics

Value: 57257 → 57258 → 57259

Parity: even

Prime: No

Previous Prime: 57251

Next Prime: 57259

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 3181

Divisors: 1, 2, 3, 6, 9, 18, 3181, 6362, 9543, 19086

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111110101010

Octal: 157652

Duodecimal: 29176

Hexadecimal: dfaa

Square: 3278478564

Square Root: 239.28643923131122

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 (n+1) X (k+1) 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. A206676

Endpoints in trees with n nodes. A3228

Start of the first run of exactly n integers in A014134. A140867

Number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. A206671

Number of nondecreasing -n..n vectors of length 3 whose dot product with some other -n..n vector equals 3. A226342

Number of n X 2 1..5 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in increasing order. A166816

Number of (n+1) X (n+1) 0..2 arrays with no 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors or the same number of counterclockwise edge increases as its vertical neighbors. A206669

Numbers n such that n | 11ⁿ + 10ⁿ + 9ⁿ + 8ⁿ + 7ⁿ + 6ⁿ. A57258