Properties of the Number 29007

Twenty-Nine Thousand Seven

Basics

Value: 29006 → 29007 → 29008

Parity: odd

Prime: No

Previous Prime: 28979

Next Prime: 29009

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 293

Divisors: 1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000101001111

Octal: 70517

Duodecimal: 14953

Hexadecimal: 714f

Square: 841406049

Square Root: 170.31441512684708

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 2's in the last section of the set of partitions of n. A182712

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

For a given unrestricted partition π, let P(π)=λ(π), if μ(π)=0. If μ(π)>0 then let P(π)=ν(π), where ν(π) is the number of parts of π greater than μ(π), μ(π) is the number of ones in π and λ(π) is the largest part of π. A100818

Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant. A117345

Composite numbers k coprime to 13 such that k divides A006190(k) - Kronecker(13,k). A327654

Number of nondecreasing sequences of 6 1..n integers with no element dividing the sequence sum. A212873

Numbers which are the sums of consecutive fifth powers. A217845

G.f.: A(x) = F(x·G(x)³) where F(x) = G(x/F(x)) = 1 + x·F(x)³ is the g.f. of A001764 and G(x) = F(x·G(x)) = 1 + x·G(x)⁴ is the g.f. of A002293. A153399

Number of 2's in all partitions of 2n that do not contain 1 as a part. A182716

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 878", based on the 5-celled von Neumann neighborhood. A273741