Properties of the Number 29938

Twenty-Nine Thousand Nine Hundred Thirty-Eight

Basics

Value: 29937 → 29938 → 29939

Parity: even

Prime: No

Previous Prime: 29927

Next Prime: 29947

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 14969

Divisors: 1, 2, 14969, 29938

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011110010

Octal: 72362

Duodecimal: 153AA

Hexadecimal: 74f2

Square: 896283844

Square Root: 173.02600960549256

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: x = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1) * A(x)ⁿ. A355357

Number of triangular partitions of n of order 3. A84439

a(n) = 2^m minus (the total number of distinct subsets of length-(m-n) binary words that can appear as the factor of a word of length m, for 0 <= n < m/2). A225865

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 1, 1), (0, 0, -1), (1, 0, 0)}. A148594

T(n,k) = coefficient of xⁿ*y^k in A(x,y) such that: x = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y + xⁿ)ⁿ * A(x,y)ⁿ. A359720

a(n) = (p-5)(p-7)/24, where p=prime(n). A29938