Properties of the Number 99892

Ninety-Nine Thousand Eight Hundred Ninety-Two

Basics

Value: 99891 → 99892 → 99893

Parity: even

Prime: No

Previous Prime: 99881

Next Prime: 99901

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13 × 17 × 113

Divisors: 1, 2, 4, 13, 17, 26, 34, 52, 68, 113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011000110100

Octal: 303064

Duodecimal: 49984

Hexadecimal: 18634

Square: 9978411664

Square Root: 316.0569568922665

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. A(x) satisfies A(x) = 1/(1 - x/(1 - x·A(x)⁴)³). A391651

Number of cyclic subgroups of the group GL(2, Z(n)), counting conjugates as distinct. A316560

a(n) = ∑_{k=0..floor(n/2)} (k+1) * binomial(k,n-2·k)². A375218

Number of peaks in all Dyck n-paths after changing each valley to a peak by the transform DU -> UD. A216318

XOR BINOMIAL transform of A003188 (Gray code numbers); also the main diagonal of the XOR difference triangle A099891. A99892