Properties of the Number 39930

Thirty-Nine Thousand Nine Hundred Thirty

Basics

Value: 39929 → 39930 → 39931

Parity: even

Prime: No

Previous Prime: 39929

Next Prime: 39937

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 11 ³

Divisors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101111111010

Octal: 115772

Duodecimal: 1B136

Hexadecimal: 9bfa

Square: 1594404900

Square Root: 199.82492337043445

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

Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 1. A380889

G.f.: A(x) = exp( ∑_n>=1 2ⁿ * xⁿ/(n*(1+xⁿ)) ). A165941

a(n) = if n mod 2 = 1 then (n²-1)*n³/4 else n⁵/4. A122657

a(n) = ((n-th prime)⁵-(n-th prime)³)/4. A138434

Number of compositions into a prime number of distinct parts. A102623

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>2z. A212504

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={2}. A80009

Ordered m for which m = k³*a·b*(a⁴ - b⁴) determine (unique) solution triples(k,a,b), where k=1,2,3,... and (a,b) are coprime pairs, not both odd (i.e., of opposite parity). A81779

Number of subsets of {1,2,...,n} such that no two elements differ by 2, 4, or 5. A375983

Height of lattice of parameters of mixed orthogonal arrays with n runs and strength 2. A39930