Properties of the Number 20242

Twenty Thousand Two Hundred Forty-Two

Basics

Value: 20241 → 20242 → 20243

Parity: even

Prime: No

Previous Prime: 20233

Next Prime: 20249

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 29 × 349

Divisors: 1, 2, 29, 58, 349, 698, 10121, 20242

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111100010010

Octal: 47422

Duodecimal: B86A

Hexadecimal: 4f12

Square: 409738564

Square Root: 142.27438279606065

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

Primitive numbers in A229306. A229310

Largest possible side length for a perfect squared square of order n; or 0 if no such square exists. A217149

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250454

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7. A252457

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111. A260070

Start with 0. Successive digits in the sequence must differ by 2. Adjoin the smallest number not yet in the sequence. A228327

Sum of totients of binomial coefficients C(n,j), j=0..n. A64450

Number of (n+1)X(1+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250447

Number of (n+1)X(5+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250451

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7. A252451