Properties of the Number 29589

Twenty-Nine Thousand Five Hundred Eighty-Nine

Basics

Value: 29588 → 29589 → 29590

Parity: odd

Prime: No

Previous Prime: 29587

Next Prime: 29599

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 1409

Divisors: 1, 3, 7, 21, 1409, 4227, 9863, 29589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001110010101

Octal: 71625

Duodecimal: 15159

Hexadecimal: 7395

Square: 875508921

Square Root: 172.01453426963664

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

Triangle of coefficients of Chebyshev's S(n,x+4) polynomials (exponents of·in increasing order). A207823

Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n triangular matrix: 4 on the main diagonal, -1 of the two adjacent subdiagonals, 0 otherwise. A124029

a(n) = 27·n²/2 + 45·n/2 - 12 (n>=1). A304375

Triangle A124029 with the (0,0) entry replaced by 4. A123966

Number of arrays of the median of three adjacent elements of some length 7 0..n array. A228742

Number of nX6 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298587

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, 0, 1), (1, -1, 1), (1, 0, -1)}. A148334

Coefficients of mock modular form H₃⁴ (divided by 2). A256053

Numbers k such that (22·10^k + 161)/3 is prime. A282278

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ)ⁿ⁺¹ for n>=0. A302702