Properties of the Number 20096

Twenty Thousand Ninety-Six

Basics

Value: 20095 → 20096 → 20097

Parity: even

Prime: No

Previous Prime: 20089

Next Prime: 20101

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 157

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 157, 314

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111010000000

Octal: 47200

Duodecimal: B768

Hexadecimal: 4e80

Square: 403849216

Square Root: 141.7603611733548

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 maximal subsets of {1..n} such that every pair of distinct elements has a different quotient. A325861

The n-th arithmetic derivative of 2³. A129150

Primitive practical numbers of the form 2ⁱ * prime(k). A308710

Number of strict compositions of n that are neither unimodal nor is their negation. A332874

Trajectory of 15 under the map k -> A003415(k) (taking the arithmetic derivative). A90636

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+457)² = y². A129642

a(n) = [xⁿ] ( c(x)/c(-x) )ⁿ, where c(x) = (1 - sqrt( 1 - 4·x))/(2·x) is the o.g.f. of the Catalan numbers A000108. A333564

G.f. A(x) satisfies: A(x) = 1 / ((1 + x) * (1 - x·A(x)⁶)). A349302

Number A(n,k) of factorizations of mⁿ into at most n factors, where m is a product of exactly k distinct primes; square array A(n,k), n>=0, k>=0, read by antidiagonals. A256384

Eighth arithmetic derivative of n. A258648