Properties of the Number 45311

Forty-Five Thousand Three Hundred Eleven

Basics

Value: 45310 → 45311 → 45312

Parity: odd

Prime: No

Previous Prime: 45307

Next Prime: 45317

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 6473

Divisors: 1, 7, 6473, 45311

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000011111111

Octal: 130377

Duodecimal: 2227B

Hexadecimal: b0ff

Square: 2053086721

Square Root: 212.86380622360392

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

Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A298724

Triangle T(n,r), read by rows, where the r-th column is expansion of A(x)^r, with A(x) = x * (x+1) * (2·x⁴+4·x³-2·x+1) * (x⁴+2·x³-x+1) / (x²+x-1)⁶. A187055

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A298727

Primes congruent to {1, 2, 3, 5, 6} (mod 7). A45311