Properties of the Number 29114

Twenty-Nine Thousand One Hundred Fourteen

Basics

Value: 29113 → 29114 → 29115

Parity: even

Prime: No

Previous Prime: 29101

Next Prime: 29123

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 14557

Divisors: 1, 2, 14557, 29114

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000110111010

Octal: 70672

Duodecimal: 14A22

Hexadecimal: 71ba

Square: 847624996

Square Root: 170.6282508847817

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

T(n,k)=Number of 0..k arrays of length n+1 with 0 never adjacent to k. A212835

The smallest k >= 0 that can be represented as a linear combination of 1², 2², ..., n² with coefficients +-1 and that cannot be represented using 1², 2², ..., m² with 1<=m<n. A392127

Partial sums of A206032 (∏_d∣n σ(d)). A280085

Expansion of g.f. (1-x-x³+x⁴-2·x²)/((1-2·x)*(x-1)²*(x+1)²). A106157

Number of 0..7 arrays of length n+1 with 0 never adjacent to 7. A212834

Number of 0..n arrays of length 5 with 0 never adjacent to n. A212838

a(n) = [xⁿ] ∏_k>=1 1/((1 - x^k)*(1 - x^2·k))ⁿ. A319457

The number of n-free abundant numbers below the least number k that is not n-free whose sum of n-free divisors is larger than 2·k. A387155

Number of octonary sequences of length n such that no two consecutive terms have distance 7. A287815

Expansion of 1/((1-x)*(1-x⁶)*(1-x⁹)*(1-x¹¹)). A29114