Properties of the Number 39984

Thirty-Nine Thousand Nine Hundred Eighty-Four

Basics

Value: 39983 → 39984 → 39985

Parity: even

Prime: No

Previous Prime: 39983

Next Prime: 39989

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 ² × 17

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000110000

Octal: 116060

Duodecimal: 1B180

Hexadecimal: 9c30

Square: 1598720256

Square Root: 199.9599959991998

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

E.g.f. D(x) = A(x)*B(x)*C(x) where A(x), B(x), and C(x) are the e.g.f.s of A292121, A292122, and A292123, respectively. A292124

Expansion of e.g.f. exp(x³ * exp(-x)). A292908

Numbers k such that k·A003557(A003961(k)) divides A353790(k), where A353790(n) = φ(A003973(n)) * A064989(A003973(n)). A353797

a(n) = (2·n - 5)n². A15240

a(1)=1, a(2)=1. a(n) = the sum of the two largest earlier terms which are both coprime to n. A122457

a(n) = 64·n² - 16. A157913

a(n) = 625·n² - 2·n. A158373

a(n) = coefficient of xⁿ in the n-th iteration of ∑_k>=0 x^{2^k}, n>=1. A168362

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x=R, y=R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}. A212751

E.g.f.: exp(-x³ * exp(x)). A293017