Properties of the Number 43929

Forty-Three Thousand Nine Hundred Twenty-Nine

Basics

Value: 43928 → 43929 → 43930

Parity: odd

Prime: No

Previous Prime: 43913

Next Prime: 43933

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1627

Divisors: 1, 3, 9, 27, 1627, 4881, 14643, 43929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010101110011001

Octal: 125631

Duodecimal: 21509

Hexadecimal: ab99

Square: 1929757041

Square Root: 209.59246169650282

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

G.f. A(x) satisfies: x²*A(x) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x)ⁿ. A355364

Square array read by ascending antidiagonals: T(n,k) = [x^k] 1/(1 + x) * Legendre_P(k, (1 - x)/(1 + x))^-n for n >= 1, k >= 0. A364298

Number of multiples of n which have only distinct and nonzero digits in base 10. A328287

Number of different n X n symmetric matrices with nonnegative entries summing to 4. Also number of symmetric oriented graphs with 4 arcs on n points. A139594

a(n) = 38·n² + 1. A158593

a(n) = ∑_{k=0..floor(n/2)} binomial(k+2,4·n-8·k+2). A390222

a(n) = ∑_{k=0..floor(3·n/8)} binomial(k+2,3·n-8·k). A390036

Number of symmetric nonnegative integer 9 X 9 matrices with sum of elements equal to 4·n, under action of dihedral group D₄. A54549

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 81", based on the 5-celled von Neumann neighborhood. A270100

Triangle read by columns: T(n,k) is the number of functions from an n-element set to a k-element set that are not one-to-one, k>=n>=1. A347034