Properties of the Number 8384

Eight Thousand Three Hundred Eighty-Four

Basics

Value: 8383 → 8384 → 8385

Parity: even

Prime: No

Previous Prime: 8377

Next Prime: 8387

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 131

Divisors: 1, 2, 4, 8, 16, 32, 64, 131, 262, 524

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011000000

Octal: 20300

Duodecimal: 4A28

Hexadecimal: 20c0

Square: 70291456

Square Root: 91.56418513807678

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

Numbers m whose abundance σ(m) - 2m = -4. Numbers whose deficiency is 4. A125246

Numbers that are the sum of 5 positive 6th powers. A3361

(Presumed) solution to Waring's problem: g(n) = 2ⁿ + floor((3/2)ⁿ) - 2. A2804

Numbers with prime factorization p·q⁶. A189987

Expansion of g.f. 1/2 + 1/(1+sqrt(1-8·x+8·x²)). A226316

Even and odd solutions to abs(σ(x)-2x) <= log(x). Numbers n whose abundance-radius does not exceed log(n). A88011

Numbers n such that every digit occurs at least once in n³. A119735

Deficient-perfect numbers: Deficient numbers n such that n/(2n-σ(n)) is an integer. A271816

Indices of prime Mersenne numbers (A001348). A16027

Numbers with 14 divisors. A30632