Properties of the Number 23506

Twenty-Three Thousand Five Hundred Six

Basics

Value: 23505 → 23506 → 23507

Parity: even

Prime: No

Previous Prime: 23497

Next Prime: 23509

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 23 × 73

Divisors: 1, 2, 7, 14, 23, 46, 73, 146, 161, 322

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101111010010

Octal: 55722

Duodecimal: 1172A

Hexadecimal: 5bd2

Square: 552532036

Square Root: 153.3166657607711

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

Numbers k such that k and k² have the same set of digits. A29793

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A219714

a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 5's. A48539

Numbers that can be written in exactly three different ways as s₁^x_1 + ... + s_t^x_t, with 1 < s₁ < ... < s_t and {s₁,..., s_t} = {x₁,..., x_t} for some t > 0. A386967

Numbers k in which the digits of k² appear. A29774

Glaisher's chi₁₂(n). A247067

a(n) is the least number that can be written in exactly n ways as s₁^x_1 + ... + s_t^x_t, with 1 < s₁ < ... < s_t and {s₁,..., s_t} = {x₁,..., x_t}. A387100

Row sums of triangle A097179, in which the n-th row polynomial R_n(y) is formed from the initial (n+1) terms of g.f. A077860(y)ⁿ⁺¹, where R_n(1/2) = 4ⁿ for all n>=0. A97180

Numbers k such that k and k² use only the digits 0, 2, 3, 5 and 6. A136888

Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X 4 array. A219710