Properties of the Number 45705

Forty-Five Thousand Seven Hundred Five

Basics

Value: 45704 → 45705 → 45706

Parity: odd

Prime: No

Previous Prime: 45697

Next Prime: 45707

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 277

Divisors: 1, 3, 5, 11, 15, 33, 55, 165, 277, 831

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001010001001

Octal: 131211

Duodecimal: 22549

Hexadecimal: b289

Square: 2088947025

Square Root: 213.7872774512085

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 nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188607

Number of 11-regular partitions of n (no part is a multiple of 11). A328545

Number of crossings in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n. A359691

Number of nX3 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188601

Number of 7Xn binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188612

Numbers k such that sopf(k)*nud(k) = π(k), where sopf(k)=A008472, nud(k)=A034444 and π(k)=A000720. A64015

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 1), (0, 1, 0), (1, 0, -1)}. A148156

Primes of the form F(i)² + F(j)³, where F() are Fibonacci numbers. A45705