Properties of the Number 21745

Twenty-One Thousand Seven Hundred Forty-Five

Basics

Value: 21744 → 21745 → 21746

Parity: odd

Prime: No

Previous Prime: 21739

Next Prime: 21751

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 4349

Divisors: 1, 5, 4349, 21745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010011110001

Octal: 52361

Duodecimal: 10701

Hexadecimal: 54f1

Square: 472845025

Square Root: 147.46185947559457

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

Matrix square of triangle A121412. A121416

Rectangular table, read by antidiagonals, where row n is equal to column 2 of matrix power A121412ⁿ⁺¹ for n>=0. A121428

Column 2 of triangle A121416. A121419

Number of subpartitions of partition P=[0,0,0,1,1,1,1,2,2,2,2,2,3,...], where P(n) = [(sqrt(8·n+25) - 5)/2]. A121432

Consecutive states of the linear congruential pseudo-random number generator 20403·s mod 2¹⁵ when started at s=1. A384196

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood. A271604

Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302684

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 1), (0, -1, 1), (1, 1, 0)}. A149143

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302680

Decimal expansion of 1/741. A21745