Properties of the Number 99792

Ninety-Nine Thousand Seven Hundred Ninety-Two

Basics

Value: 99791 → 99792 → 99793

Parity: even

Prime: No

Previous Prime: 99787

Next Prime: 99793

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁴ × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000010111010000

Octal: 302720

Duodecimal: 49900

Hexadecimal: 185d0

Square: 9958443264

Square Root: 315.8987179461164

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

Triangle read by rows: T(n, k) = [z^k] P(n, z) where P(n, z) = ∑_k=0..n binomial(n, k) * Pochhammer(n - k + c, k) * z^k / k! and c = 4. A62145

Bi-unitary harmonic numbers. A286325

a(n) = A289671(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3) = A004523(n). A289677

a(n) is the denominator of the probability that the free polyomino with binary code A246521(n+1) appears in the version of the Eden growth model described in A367671 when n square cells have been added. A367672

Numbers that have exactly two exponents in their prime factorization that are equal to 4. A386805

Numbers that are the sum of four third powers in exactly ten ways. A345156

Expansion of θ series of E₇ lattice in powers of q². A4008

a(n) is the least number with exactly n divisors of the form 5·k+1. A364586

a(n) is the least number with exactly n divisors of the form 5·k+2. A364598

Expansion of 1/(1 - 4·x² - 4·x³)^3/2. A377186