Properties of the Number 29208

Twenty-Nine Thousand Two Hundred Eight

Basics

Value: 29207 → 29208 → 29209

Parity: even

Prime: No

Previous Prime: 29207

Next Prime: 29209

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 1217

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1217, 2434

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000011000

Octal: 71030

Duodecimal: 14AA0

Hexadecimal: 7218

Square: 853107264

Square Root: 170.90348153270605

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. satisfies: 9·A(x) = 8 + 8·x + A(x)⁵, starting with [1,2,10]. A120597

Number of nX2 0..2 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222425

Number of partitions of [n] whose non-singleton elements sum to n. A370946

Number of -n..n arrays x(0..3) of 4 elements with zero sum, and adjacent elements not equal modulo three (with -1 modulo 3 = 2). A199911

Partial sums of A299894. A299895

a(n-5) is the number of nonempty subsets of {1,2,...,n} such that the difference of successive elements is at least 5. A330910

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222488

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222430

Expansion of 1/((1-x²)*(1-x⁵)*(1-x⁹)*(1-x¹⁰)). A29208

Related to symmetry classification of 3-dimensional integrable scalar discrete equations. A130852