Properties of the Number 29008

Twenty-Nine Thousand Eight

Basics

Value: 29007 → 29008 → 29009

Parity: even

Prime: No

Previous Prime: 28979

Next Prime: 29009

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 7 ² × 37

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 37, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111000101010000

Octal: 70520

Duodecimal: 14954

Hexadecimal: 7150

Square: 841464064

Square Root: 170.31735084835015

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

Sum of 5th powers: 0⁵ + 1⁵ + 2⁵ + ... + n⁵. A539

a(n) = 1ⁿ + 2ⁿ + ... + 7ⁿ. A1554

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)⁶ * y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A218116

Numbers k such that σ(k² + 1) == 0 (mod k). A67719

a(n) = ∑_k=1..n-1 σ(k)*sigma₃(n-k). A374963

Number of binary words of length n containing at least one subword 1000001 and no subwords 10ⁱ1 with i<5. A143285

Number of lattice paths from (0,0) to (n,n) using steps S={(k,0),(0,k),(r,r)|k>0,r>0} which never go above the line y=x. A175962

Numbers which are the sums of consecutive fifth powers. A217845

Volume of each square prism building the next 3-dimensional box in A100538 where side lengths form the Padovan spiral number sequence (A134816), starting with 1 X 1 X 1, 1 X 1 X 2, 2 X 2 X 2, 2 X 2 X 3, 4 X 4 X 5, ... A285551

Table read by antidiagonals upward: T(n,k) is the number of ways to move a chess queen from (1,1) to (n,k) in the first quadrant using only up, right, and diagonal up-left moves. A334017