Properties of the Number 24930

Twenty-Four Thousand Nine Hundred Thirty

Basics

Value: 24929 → 24930 → 24931

Parity: even

Prime: No

Previous Prime: 24923

Next Prime: 24943

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 277

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000101100010

Octal: 60542

Duodecimal: 12516

Hexadecimal: 6162

Square: 621504900

Square Root: 157.8923684032892

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

Number of positive solutions to x²+y²+z² <= n². A253663

Number of ways to place 3 nonattacking kings on a 3 X n board. A172202

a(n) = ∑_k=0..n-1 binomial(5·k,k) * binomial(5·n-5·k-2,n-k-1). A386367

Expansion of E.g.f. (1 + 2·x + x²/2) * sech(x). A119883

Number of 3Xn arrays containing n copies of 0..3-1 with no equal horizontal or vertical neighbors. A264955

Expansion of a cusp form of weight 8 for Gamma₁(6). A6354

Array T(n,k) read by antidiagonals, where T(0,k) = -A226158(k) and T(n+1,k) = 2·T(n,k+1) - T(n,k). A245683

Irregular triangle read by rows: T(n,k) = number of k-sided polygons formed when connecting infinite lines between all vertices and all points that divide the sides of an equilateral triangle into n equal parts, for k = 3, 4, ..., max_k. A346446

a(n) = sum of remainders of n mod 1,3,5,...,2k-1, where k = [ (n+1)/2 ]. A24930

Number of nX3 0..1 arrays with no 1 equal to more than four of its king-move neighbors, with the exception of exactly two elements. A282372