Properties of the Number 29939

Twenty-Nine Thousand Nine Hundred Thirty-Nine

Basics

Value: 29938 → 29939 → 29940

Parity: odd

Prime: No

Previous Prime: 29927

Next Prime: 29947

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 13 × 47

Divisors: 1, 7, 13, 47, 49, 91, 329, 611, 637, 2303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011110011

Octal: 72363

Duodecimal: 153AB

Hexadecimal: 74f3

Square: 896343721

Square Root: 173.02889932031584

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.: exp( ∑_n>=1 σ(3n)*xⁿ/n ). A182819

Let r, s, t be three permutations of the set {1,2,3,..,n}; a(n) = value of ∑_i=1..n r(i)*s(i)*t(i), with r={1,2,3,..,n}; s={n,n-1,..,1} and t={n,n-2,n-4,...,1,...,n-3,n-1}. A70893

Coefficients in a q-analog of the function LambertW(-2·x)/(-2·x), as a triangle read by rows. A152555

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 nXk array. A221062

a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6). A26049

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..2 nXk array. A221660

a(n) = ∑_k=0..n binomial(4·n+4·k,n-k). A390410

Number of obtuse triangles, distinct up to congruence, on a centered hexagonal grid of size n. A241234

Equals one maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 nX5 array. A221061

Equals one maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 3Xn array. A221064