Properties of the Number 20974

Twenty Thousand Nine Hundred Seventy-Four

Basics

Value: 20973 → 20974 → 20975

Parity: even

Prime: No

Previous Prime: 20963

Next Prime: 20981

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 10487

Divisors: 1, 2, 10487, 20974

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000111101110

Octal: 50756

Duodecimal: 1017A

Hexadecimal: 51ee

Square: 439908676

Square Root: 144.82403115505383

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..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

Row sums of triangle A178239. A178240

Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252187

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252191

Multiplicity of highest weight (or singular) vectors associated with character chi₂₈ of Monster module. A34416

Partial sums of A005256. A174622

a(n) is the integer part of rⁿ where r² = ∑_n>=1 1/a(n). A266331

Expansion of 1/((1-7·x)*(1-10·x)*(1-12·x)). A20974