Properties of the Number 29185

Twenty-Nine Thousand One Hundred Eighty-Five

Basics

Value: 29184 → 29185 → 29186

Parity: odd

Prime: No

Previous Prime: 29179

Next Prime: 29191

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 13 × 449

Divisors: 1, 5, 13, 65, 449, 2245, 5837, 29185

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000000001

Octal: 71001

Duodecimal: 14A81

Hexadecimal: 7201

Square: 851764225

Square Root: 170.83617883809038

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.: 1/(1 - x*(1-x⁵)/(1 - x²*(1-x⁶)/(1 - x³*(1-x⁷)/(1 - x⁴*(1-x⁸)/(1 - x⁵*(1-x⁹)/(1 - ...)))))), a continued fraction. A227374

Numbers k such that ∑_i=1..k i⁷ divides ∏_i=1..k i⁷. A166607

Strong pseudoprimes to base 67. A20293

Number of von Neumann regular elements in the ring of 2 X 2 matrices over Z_n. A295071

Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1. A35962

Stellated octagon numbers: a(n) = 20·n² + 8·n + 1. A381196

Sum of Gaussian binomial coefficients [ n,k ] for q=3. A6117

Expansion of 1/((1-x²)*(1-x⁴)*(1-x⁷)*(1-x¹²)). A29185