Properties of the Number 41816

Forty-One Thousand Eight Hundred Sixteen

Basics

Value: 41815 → 41816 → 41817

Parity: even

Prime: No

Previous Prime: 41813

Next Prime: 41843

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5227

Divisors: 1, 2, 4, 8, 5227, 10454, 20908, 41816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001101011000

Octal: 121530

Duodecimal: 20248

Hexadecimal: a358

Square: 1748577856

Square Root: 204.48960853794014

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251876

Number of binary strings of length n with no substrings equal to 0001, 0110, or 1110. A164482

Number of (n+1)X(n+1) -9..9 symmetric matrices with every 2X2 subblock having sum zero and three distinct values. A211550

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251870

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251874

Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 43. A156507

Numerators of continued fraction convergents to sqrt(429). A41816

Number of defective 3-colorings of an n X 5 0..2 array connected horizontally and vertically with exactly two mistakes, and colors introduced in row-major 0..2 order. A229603