Properties of the Number 41505

Forty-One Thousand Five Hundred Five

Basics

Value: 41504 → 41505 → 41506

Parity: odd

Prime: No

Previous Prime: 41491

Next Prime: 41507

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 2767

Divisors: 1, 3, 5, 15, 2767, 8301, 13835, 41505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001000100001

Octal: 121041

Duodecimal: 20029

Hexadecimal: a221

Square: 1722665025

Square Root: 203.72775952235867

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

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)² * x^k*(3-x)^n-k. A217617

Array read by antidiagonals: T(n,k) = number of n X k lonesum decomposable (0,1) matrices of decomposition order 1. A299904

Number of 4Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A207307

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (1, -1, 1), (1, 0, 0), (1, 1, 1)}. A150532

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A207305

Numerators in a product expansion for sqrt(3). A219012

Denominators of continued fraction convergents to sqrt(269). A41505