Properties of the Number 45031

Forty-Five Thousand Thirty-One

Basics

Value: 45030 → 45031 → 45032

Parity: odd

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 919

Divisors: 1, 7, 49, 919, 6433, 45031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010111111100111

Octal: 127747

Duodecimal: 22087

Hexadecimal: afe7

Square: 2027790961

Square Root: 212.20508947713765

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 permutations p of [n] such that p(i) > p(i+1) iff i == 0 (mod 7). A250284

Number of binary strings of length n with no substrings equal to 0000 or 0011. A164388

Number of sequences of n coin flips that win on the last flip, if the sequence of flips ends with (0,0,1,1). A199925

Number of permutations p of [n] such that p(i) > p(i+1) iff i == 1 (mod 7). A250263

Expansion of 1/((1-x)*(1-3x)*(1-6x)*(1-11x)). A21524

Array T(n,m) = A177944(2·n,2·m) read by antidiagonals. A177970

Expansion of 1/((1-3x)(1-5x)(1-6x)(1-9x)). A28055

Irregular array read by rows: row k (k>=1) contains k² numbers, formed by filling in a k X k square by upwards antidiagonals so entries in all rows, columns, diagonals, antidiagonals are distinct, and then reading that square across rows. A308881

Number of n X 3 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230171

Numbers whose base-4 representation contains exactly three 0's and three 1's. A45031