Properties of the Number 19986

Nineteen Thousand Nine Hundred Eighty-Six

Basics

Value: 19985 → 19986 → 19987

Parity: even

Prime: No

Previous Prime: 19979

Next Prime: 19991

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 3331

Divisors: 1, 2, 3, 6, 3331, 6662, 9993, 19986

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000010010

Octal: 47022

Duodecimal: B696

Hexadecimal: 4e12

Square: 399440196

Square Root: 141.37185009753534

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

Number of integer partitions of n with one fewer distinct multiplicities than distinct parts. A325244

T(n,k) = Number of n X k 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279657

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

G.f.: ∑_k>=1 x^2·k-1/(1+x^2·k-1) * ∏_k>=1 (1+x^k)/(1-x^k). A305124

a(1)=1; thereafter a(n) is smallest positive number not already in the sequence such that the sum a(1)+...+a(n) divides the concatenation a(1)...a(n). A151995

a(n) = n*(24·n³ - 60·n² + 54·n - 17). A272379

a(0) = ... = a(4) = 1; a(n) = ∑_k=1..n-5 a(k) * a(n-k-5). A346049

Number of multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2. A136779

a(n) = 2*(10ⁿ - 7). A175237

Least k such that k·A000668(n)*A000668(n+2) + 1 is prime, where A000668(n) is the n-th Mersenne prime. A365063