Properties of the Number 23748

Twenty-Three Thousand Seven Hundred Forty-Eight

Basics

Value: 23747 → 23748 → 23749

Parity: even

Prime: No

Previous Prime: 23747

Next Prime: 23753

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1979

Divisors: 1, 2, 3, 4, 6, 12, 1979, 3958, 5937, 7916

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101110011000100

Octal: 56304

Duodecimal: 118B0

Hexadecimal: 5cc4

Square: 563967504

Square Root: 154.1038610807659

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

a(n+3) = -a(n+2) + 2a(n+1) + a(n) with a(0)=-1, a(1)=0, a(2)=-3. A214683

a(n) = 5·a(n-1) - 6·a(n-2) + a(n-3), with a(0)=1, a(1)=3, a(2)=8. A215512

Expansion of ∏_k>=1 (1 + 3·x^k) / (1 - x^k). A266821

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 539", based on the 5-celled von Neumann neighborhood. A282983

Number of inversions in all Dyck prefixes of length n. A221058

a(n) = ∑_k=1..n (-1)^k+1 * floor(n/(2·k-1))³. A350163

Expansion of a modular function. A6707

Plaindromes: numbers whose digits in base 6 are in nondecreasing order. A23748

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252634