Properties of the Number 23145

Twenty-Three Thousand One Hundred Forty-Five

Basics

Value: 23144 → 23145 → 23146

Parity: odd

Prime: No

Previous Prime: 23143

Next Prime: 23159

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1543

Divisors: 1, 3, 5, 15, 1543, 4629, 7715, 23145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101001101001

Octal: 55151

Duodecimal: 11489

Hexadecimal: 5a69

Square: 535691025

Square Root: 152.13480864023197

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 permutations of 1..n containing the relative rank sequence { 23145 } at any spacing. A158423

Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 5). A212364

T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than k-1 2-cycles. A271969

Number of (12345, 13245, 21345, 23145, 31245, 32145)-avoiding permutations. A54872

Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit. A178475

Number of distinct lines passing through at least three points in a triangular grid of side n. A234248

Number of A095319-primes in range ]2ⁿ,2ⁿ⁺¹]. A95329

Number of A095315-primes in range ]2ⁿ,2ⁿ⁺¹]. A95335

Expansion of η(q³) * η(q³³) / ( η(q)* η(q¹¹)) in powers of q. A128663

Numbers with 5 distinct digits {1,2,3,4,5} such that all adjacent digits (as well as first and last digits) are coprime. A104972