Properties of the Number 23664

Twenty-Three Thousand Six Hundred Sixty-Four

Basics

Value: 23663 → 23664 → 23665

Parity: even

Prime: No

Previous Prime: 23663

Next Prime: 23669

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 17 × 29

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110001110000

Octal: 56160

Duodecimal: 11840

Hexadecimal: 5c70

Square: 559984896

Square Root: 153.8310761842353

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 with property that average digit of k² is s=7. A164773

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252820

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 4 or more. A251858

Expansion of 1/((1 - x³ - x⁴)² - 4·x⁷). A376724

Expansion of q^-1/2 * k(q) * (1 - k(q)⁴) * (K(q) / (π/2))⁶ / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions. A225923

Expansion of q * (φ(-q²) * ψ(-q)²)⁴ in powers of q where φ(), ψ() are Ramanujan θ functions. A225912

Expansion of ∏_k>=1 (1 + x^4·k)^4·k / (1 + x^k)^k. A285295

Triangle read by rows. T(n, k) = numerator([x^k] R(n, n, x)), where R(n, k, x) = ∑_u=0..k ( ∑_j=0..u x^j * binomial(u, j) * (j + 1)ⁿ ) / (u + 1). A362996

Related to representation as sums of squares. A2292

Numbers such that (-1)σ(m)*UnitarySigma(m)= k·UnitaryPhi(m)*m for some integer k. A123181