Properties of the Number 20484

Twenty Thousand Four Hundred Eighty-Four

Basics

Value: 20483 → 20484 → 20485

Parity: even

Prime: No

Previous Prime: 20483

Next Prime: 20507

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 569

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 569

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000000000100

Octal: 50004

Duodecimal: BA30

Hexadecimal: 5004

Square: 419594256

Square Root: 143.12232530251876

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+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251317

A106486-encodings of combinatorial games with value 2. A125995

Number of n X 3 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240757

Number of length n+2 0..3 arrays with every three consecutive terms having the sum of some two elements equal to twice the third. A248428

Number of (n+1) X (2+1) 0..1 arrays with no 2 X 2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251311

Number of (n+1)X(7+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251316

Triangle read by rows: Coefficients of the polynomials SC(n, x) * EZ(n, x), where SC denote the Stirling cycle polynomials and EZ the Eulerian zig-zag polynomials A205497. A373427

A005117(k) - 1 where k is the least k such that A389412(k) = n. A389879

Least prime p such that there exists a prime q with p-2n = q. A20484

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252346