Properties of the Number 20052

Twenty Thousand Fifty-Two

Basics

Value: 20051 → 20052 → 20053

Parity: even

Prime: No

Previous Prime: 20051

Next Prime: 20063

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 557

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100111001010100

Octal: 47124

Duodecimal: B730

Hexadecimal: 4e54

Square: 402082704

Square Root: 141.60508465447137

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252861

Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A359603

G.f. of the z² coefficients of the FP1 in the third column of the A156921 matrix. A156929

Bessel function J₀(n) is a monotonically decreasing positive sequence. A46960

Expansion of (1+x²)*(1+x⁵)/( ∏_j=1..7 (1-x^j) ). A60962

Number of lines through at least 2 points of a 9 X n grid of points. A160849

Number of (n+2) X (2+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252855

Number of n X 3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305637

Expansion of e.g.f.: cos(sin(x)+log(x+1))=1-4/2!*x²+6/3!*x³+5/4!*x⁴-10/5!*x⁵... A12891

Number of ways to place 7 nonattacking kings on an n X n board. A194788