Properties of the Number 23265

Twenty-Three Thousand Two Hundred Sixty-Five

Basics

Value: 23264 → 23265 → 23266

Parity: odd

Prime: No

Previous Prime: 23251

Next Prime: 23269

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 11 × 47

Divisors: 1, 3, 5, 9, 11, 15, 33, 45, 47, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101011100001

Octal: 55341

Duodecimal: 11569

Hexadecimal: 5ae1

Square: 541260225

Square Root: 152.52868582663393

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

Triangle T(n, k) = Numbers of ways to place k points on a triangular grid of side n so that no two of them are adjacent. Triangle read by rows. A239567

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252201

Number of ways to place 4 points on a triangular grid of side n so that no two of them are adjacent. A239570

Numbers k for which A354102(k) = A354102(σ(k)). A354106

Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which represent a rotation of order 2. A53171

a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10. A154496

a(n) = A261236(n) - A261237(n). A261230

Number of 0..n arrays x(0..3) of 4 elements with each no smaller than the sum of its previous elements modulo (n+1). A200253

E.g.f.: exp((1-5·x)^-1/5-1)/(1-5·x). A239301

Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1). A241744