Properties of the Number 41136

Forty-One Thousand One Hundred Thirty-Six

Basics

Value: 41135 → 41136 → 41137

Parity: even

Prime: No

Previous Prime: 41131

Next Prime: 41141

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 857

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010000010110000

Octal: 120260

Duodecimal: 1B980

Hexadecimal: a0b0

Square: 1692170496

Square Root: 202.8201173453955

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

Infinite lower triangular matrix, M, that satisfies [M⁴](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78536

Minimal exponents m such that the fractional part of (π-2)^m obtains a minimum (when starting with m=1). A153717

O.g.f.: ∑_n>=0 1/(1-n³*x)ⁿ * xⁿ/n! * exp(-x/(1-n³*x)). A218669

The number of cubefull numbers (A036966) not exceeding 10ⁿ. A362973

a(n) = ∑_{k=0..floor(3·n/17)} binomial(3·n-16·k,k). A392352

Eight white kings and one red king on a 3 X 3 chessboard. G.f.: (1+4·x)/(1 - 2·x - 10·x² - 4·x³). A179601

Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero. A188250

Greatest number m such that the fractional part of (π-2)^A153717(n) <= 1/m. A153721

Numerators of continued fraction convergents to sqrt(77). A41136

Number of (n+2)X7 binary arrays avoiding patterns 001 and 100 in rows, columns and nw-to-se diagonals. A202588