Properties of the Number 99840

Ninety-Nine Thousand Eight Hundred Forty

Basics

Value: 99839 → 99840 → 99841

Parity: even

Prime: No

Previous Prime: 99839

Next Prime: 99859

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁹ × 3 × 5 × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011000000000

Octal: 303000

Duodecimal: 49940

Hexadecimal: 18600

Square: 9968025600

Square Root: 315.97468253010396

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

a(n+2) = 2·a(n+1) + 2·a(n); a(0) = -1, a(1) = 1. A28860

T(n,k)=Number of nXk 0..4 arrays with some element plus some horizontally or vertically adjacent neighbor totalling four exactly once. A270058

First element r of (-1)σ sociable triple (r,s,t): s=(-1)σ(r), t=(-1)σ(s), r=(-1)σ(t), where if x=Product p(i)^r(i), then (-1)σ(x)=Product(-1+(Sum p(i)^s(i), s(i)=1 to r(i))). A49057

a(n) = (n-p₁)(n-p₂)...(n-p_k) where p_k is the k-th prime and is also the largest prime < n. A80497

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood. A287097

Expansion of 2·x² / (1-2·x-2·x²). A293007

Expansion of g.f. (1-2·x²)/(1-2·x-2·x²). A152035

a(n) = σ(2·n³) - σ(n³). A225959

Number of ordered pairs (p,q) of partitions of n such that the set of parts in q is equal to the set of parts in p. A369695

Graham-Sloane-type lower bound on the size of a ternary (n,3,8) constant-weight code. A30508