Properties of the Number 99585

Ninety-Nine Thousand Five Hundred Eighty-Five

Basics

Value: 99584 → 99585 → 99586

Parity: odd

Prime: No

Previous Prime: 99581

Next Prime: 99607

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 2213

Divisors: 1, 3, 5, 9, 15, 45, 2213, 6639, 11065, 19917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010100000001

Octal: 302401

Duodecimal: 49769

Hexadecimal: 18501

Square: 9917172225

Square Root: 315.5709112069742

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

Number of partitions of an n-set without blocks of size 2. A97514

Residues of the Lucas - Lehmer primality test for M(17) = 131071. A129222

Triangle read by rows: T(n,k) is the number of set partitions of the set {1,2,...,n} containing k blocks of size 2 (0 <= k <= floor(n/2)). A124498

a(n) = least natural number k such that the distance between (n, σ(n)) and (n+k, σ(n+k)) is an integer (i.e., k² + (σ(n+k) - σ(n))² is a square), if such k exists; 0 otherwise. A66790

a(0)=a(1)=1. For n >= 2, a(n) = a(n-2) + a(n-1) + (number of terms from among {a(0),a(1),a(2),...a(n-1)} which are <= n). A128610

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4. A196075

Odd bisection of A097514. A364446

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4. A196078

Remove all 3s from prime(n) - 1. A99585