Properties of the Number 29002

Twenty-Nine Thousand Two

Basics

Value: 29001 → 29002 → 29003

Parity: even

Prime: No

Previous Prime: 28979

Next Prime: 29009

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 17 × 853

Divisors: 1, 2, 17, 34, 853, 1706, 14501, 29002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000101001010

Octal: 70512

Duodecimal: 1494A

Hexadecimal: 714a

Square: 841116004

Square Root: 170.29973576021777

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 n with rank 3 (the rank of a partition is the largest part minus the number of parts). A101200

G.f.: ∑_n>=0 xⁿ * ∏_k=1..n (n + k·x) / (1 + n·x + k·x²). A204066

Number of partitions of 3 copies of n into distinct parts. A258281

Expansion of (1+x³*C⁴)*C⁴, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71741

Number of binary arrays of length n+11 with no more than 6 ones in any length 12 subsequence (=50% duty cycle). A212400

Number of binary arrays of length 2·n+4 with no more than n ones in any length 2n subsequence (=50% duty cycle). A212406

T(n,k)=Number of binary arrays of length n+2·k-1 with no more than k ones in any length 2k subsequence (=50% duty cycle). A212402

G.f. A(x) satisfies A(x/A(x)²) = 1 + x ; thus A(x) = 1 + Series_Reversion(x/A(x)²). A120970

G.f. A(x) satisfies x / Series_Reversion(x·A(x)) = (A(x) + 1+x)/2. A120956

Expansion of 1/((1-x)*(1-x²)*(1-x³)*(1-x⁸)). A29002