Properties of the Number 29314

Twenty-Nine Thousand Three Hundred Fourteen

Basics

Value: 29313 → 29314 → 29315

Parity: even

Prime: No

Previous Prime: 29311

Next Prime: 29327

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 14657

Divisors: 1, 2, 14657, 29314

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001010000010

Octal: 71202

Duodecimal: 14B6A

Hexadecimal: 7282

Square: 859310596

Square Root: 171.21331723905124

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 A(x) = 1 / (1 - x - x * (1 + x + x² + x³ + x⁴) * A(x⁵)). A367658

Number of partitions of n such that the least part occurs with odd multiplicity. A96375

Numerators of continued fraction convergents to ( sqrt(4·sqrt(3)-3) - 1 )/4. A224224

The hyper-Wiener index of the straight pentachain of n pentagonal rings (see Fig. 2.1 in the A. A. Ali et al. reference). A224460

a(n) is the smallest integer that makes A230762(n) the commonest number of decompositions of 2k into an unordered sum of two odd primes, where 3 <= k <= a(n). A230822

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 182", based on the 5-celled von Neumann neighborhood. A270632

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence). A25114

Convolution of A000108 (Catalan numbers) with A126120 (Catalan numbers interpolated with 0's). A161006

Expansion of 1/((1-x³)(1-x⁷)(1-x¹⁰)(1-x¹²)). A29314