Properties of the Number 20086

Twenty Thousand Eighty-Six

Basics

Value: 20085 → 20086 → 20087

Parity: even

Prime: No

Previous Prime: 20071

Next Prime: 20089

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 ² × 83

Divisors: 1, 2, 11, 22, 83, 121, 166, 242, 913, 1826

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111001110110

Octal: 47166

Duodecimal: B75A

Hexadecimal: 4e76

Square: 403447396

Square Root: 141.7250859939764

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 k such that prime(k) + prime(k+1) + prime(k+2) is a square. A76305

Numbers k such that k*σ(k) is a palindrome. A115890

Number of solutions to +- 1³ +- 2³ +- 3³ +- ... +- n³ = n³. A368845

Number of binary strings of length n with equal numbers of 0001 and 1010 substrings. A164163

a(n) = the smallest k such that Fibonacci(k) begins and ends with n, where Fibonacci(k) > n, or -1 if there are none. A374026

Sum of the odd parts in the partitions of n into 7 parts. A309624

Primes p beginning consecutive prime-difference pattern as follows: p, (16, 2, 16, 2), p+36. A67141

a(n) = floor( γ(n + 3/4)/γ(3/4) ). A20086

Generating function satisfies A(x)=1-xA(x)+2x(A(x))²-x²(A(x))³+x²(A(x))⁴. A200740

A coefficients of characteristic polynomials of A_n Cartan matrices times their transposes: t(n,m,d)=If[ n == m, 2, If[n == m - 1 || n == m + 1, -1, 0]]. M(d)=t(n,m,d)*Transpose[t(n,m,d)]. A158199