Properties of the Number 99984

Ninety-Nine Thousand Nine Hundred Eighty-Four

Basics

Value: 99983 → 99984 → 99985

Parity: even

Prime: No

Previous Prime: 99971

Next Prime: 99989

Digit Sum: 39

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 2083

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011010010000

Octal: 303220

Duodecimal: 49A40

Hexadecimal: 18690

Square: 9996800256

Square Root: 316.20246678354675

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

Monotonic ordering of nonnegative differences 10ⁱ-4^j, for 40>=i>=0, j>=0. A192172

a(n) = - ∑_d∣n (-n/d)^d * binomial(d+n/d-1, d). A338683

a(n) is the largest 5-digit number with exactly n divisors, or a(n) = 0 if no such number exists. A182698

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, -1), (0, 0, 1), (1, 0, 0)}. A149814

Bisection of A007947. A99984

Number of 9-step self-avoiding king's tours on an n X n board summed over all starting positions. A366829