Properties of the Number 41118

Forty-One Thousand One Hundred Eighteen

Basics

Value: 41117 → 41118 → 41119

Parity: even

Prime: No

Previous Prime: 41117

Next Prime: 41131

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 11 × 89

Divisors: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010000010011110

Octal: 120236

Duodecimal: 1B966

Hexadecimal: a09e

Square: 1690689924

Square Root: 202.77573819370008

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 nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281988

Number of permutations of [n] in which the length of every increasing run is 0 or 1 (mod 6). A322262

Rectified hexateron (5-simplex) numbers: the coefficient of x^2n-2 in (1+x+x²+...+x^n-1)⁶. A179096

G.f. A(x,y) satisfies: ∑_n=-oo...+oo (xⁿ + y)ⁿ = exp( (1-y) * A(x,y) ) / (1-y), where A(x,y) = ∑_n>=1 xⁿ/n·Sum{k=0..n-1} T(n,k)*y^k, written here as a flattened triangle of coefficients T(n,k) read by rows. A321600

G.f.: x² * f''(x), where f(x) = ∏_k>=1 (1 + x^k). A278407

a(n) = ∑_d∣n (2^d*3^n/d). A38039

Number of nX3 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281983

Number of nX6 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281986

Numerators of continued fraction convergents to sqrt(68). A41118

Bisection of A005384. A100031