Properties of the Number 41643

Forty-One Thousand Six Hundred Forty-Three

Basics

Value: 41642 → 41643 → 41644

Parity: odd

Prime: No

Previous Prime: 41641

Next Prime: 41647

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 661

Divisors: 1, 3, 7, 9, 21, 63, 661, 1983, 4627, 5949

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001010101011

Octal: 121253

Duodecimal: 20123

Hexadecimal: a2ab

Square: 1734139449

Square Root: 204.0661657404284

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

Numbers n where n² = x³ + y³; x,y>0 and gcd(x,y)=1. A99426

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185504

Numbers n such that there are precisely 11 groups of orders n and n + 1. A295994

Number of (n+1)X4 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185500

Number of (n+3) X 9 0..2 matrices with each 4 X 4 subblock idempotent. A224726

a(0) = 1; a(n) = ∑_{k=0..floor(n/3)} binomial(n+1,3·k+1) * a(k). A352901

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

Greater value of a coprime pair (x,y) satisfying x³+y³=z². A282639

Denominators of continued fraction convergents to sqrt(340). A41643

a(n) is the number of ordered solutions (x,y,z) to x² + y² == z² mod n with 1 <= x,y,z <= n-1. A136679