Properties of the Number 28007

Twenty-Eight Thousand Seven

Basics

Value: 28006 → 28007 → 28008

Parity: odd

Prime: No

Previous Prime: 28001

Next Prime: 28019

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 4001

Divisors: 1, 7, 4001, 28007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110101100111

Octal: 66547

Duodecimal: 1425B

Hexadecimal: 6d67

Square: 784392049

Square Root: 167.35292050036057

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

Members of 3-cycles of permutation A111273. A113701

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252567

Multiplicity of highest weight (or singular) vectors associated with character chi₁₄ of Monster module. A34402

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252574

Expansion of 1/((1-2x)(1-7x)(1-8x)(1-11x)). A28007

Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically, with no adjacent elements equal. A232403