Properties of the Number 29431

Twenty-Nine Thousand Four Hundred Thirty-One

Basics

Value: 29430 → 29431 → 29432

Parity: odd

Prime: No

Previous Prime: 29429

Next Prime: 29437

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19 × 1549

Divisors: 1, 19, 1549, 29431

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011110111

Octal: 71367

Duodecimal: 15047

Hexadecimal: 72f7

Square: 866183761

Square Root: 171.5546560137614

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 partitions of an n-set with exactly one even block. A96579

Numerator of ∑_k=1..n k/φ(k). A68885

Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} (or of any n-set) having k blocks of even size (0<=k<=floor(n/2)). A124322

Number of n X 3 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or nw-se diagonally. A228278

Numbers m for which there exists a k>=2 such that m equals the average of digitsum(m^p) for p from 1 to k. A259313

a(n) = numerator of ∑_d∣n τ(d)/pod(d) where τ(k) = the number of the divisors of k (A000005) and pod(k) = the product of the divisors of k (A007955). A323706

Centered pentagonal numbers which are semiprimes. A382132

Centered pentagonal numbers which are squarefree semiprimes. A381043

Expansion of 1/((1-x⁶)(1-x¹⁰)(1-x¹¹)(1-x¹²)). A29431