Properties of the Number 41821

Forty-One Thousand Eight Hundred Twenty-One

Basics

Value: 41820 → 41821 → 41822

Parity: odd

Prime: No

Previous Prime: 41813

Next Prime: 41843

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 × 3217

Divisors: 1, 13, 3217, 41821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001101011101

Octal: 121535

Duodecimal: 20251

Hexadecimal: a35d

Square: 1748996041

Square Root: 204.50183373260984

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 x*(1+x+x²) / ( (x-1)*(x³+x²-1) ). A171861

Number of binary strings of length n with no substrings equal to 000 or 011. A164315

Arises in the maximum number of C5's in a triangle-free graph. A185721

Number of irreducible involutions of length n avoiding the pattern {123}. A278025

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 1), (1, -1, -1), (1, 1, 1)}. A149523

a(n) is the total number of all winning moves for all partitions of n which represent Chomp positions. A284686

Denominators of continued fraction convergents to sqrt(431). A41821