Properties of the Number 45124

Forty-Five Thousand One Hundred Twenty-Four

Basics

Value: 45123 → 45124 → 45125

Parity: even

Prime: No

Previous Prime: 45121

Next Prime: 45127

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 29 × 389

Divisors: 1, 2, 4, 29, 58, 116, 389, 778, 1556, 11281

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000001000100

Octal: 130104

Duodecimal: 22144

Hexadecimal: b044

Square: 2036175376

Square Root: 212.4241040936739

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

Expansion of (1/theta₄ - 1)/2. A14968

A(n, k) is the k-th number b > 1 such that b^prime(n+i-1) == 1 (mod prime(n+i)²) for each i = 0..3, with k running over the positive integers; square array, read by antidiagonals, downwards. A319061

a(n) = 2 + (89040 + (71868 + (29932 + (8449 + (1960 + (322 + (28 + n)*n)*n)*n)*n)*n)*n)*n/40320. A145130

Numerator of best rational approximation x/y of sqrt(k), y<=k, with k given by A306972. The corresponding denominators are given in A306974. A306973

Expansion of (1/x) * Series_Reversion( x*(1+x-x⁴)/(1+x)² ). A366098

a(n) = 4ⁿ - binomial(n,2)*3^n-2. A380249

Number of nX5 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303322

A007318·A000203. A131046

Equals one maps: number of n X 5 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, vertical and antidiagonal neighbors in a random 0..3 n X 5 array. A221023

Numbers whose base-4 representation contains exactly three 1's and no 3's. A45124