Properties of the Number 29585

Twenty-Nine Thousand Five Hundred Eighty-Five

Basics

Value: 29584 → 29585 → 29586

Parity: odd

Prime: No

Previous Prime: 29581

Next Prime: 29587

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 61 × 97

Divisors: 1, 5, 61, 97, 305, 485, 5917, 29585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001110010001

Octal: 71621

Duodecimal: 15155

Hexadecimal: 7391

Square: 875272225

Square Root: 172.00290695217916

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 positive Dyson's ranks of all partitions of n. A209616

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1. A299708

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1 and gcd(j,k) = 1. A300166

a(n) = 16·n² + 1. A108211

G.f.: 1/(1-2·x+2·x²-x³+x⁴). A199802

McKay-Thompson series of class 45b for Monster. A58686

Position where n (presumably) appears the last time in A107261, or 0 if n keeps appearing. A107262

Numbers k such that k and k² use only the digits 2, 5, 7, 8 and 9. A137116

Number of (n+3) X 4 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. A188097

Trisection 2 of A199802. A199929