Properties of the Number 41580

Forty-One Thousand Five Hundred Eighty

Basics

Value: 41579 → 41580 → 41581

Parity: even

Prime: No

Previous Prime: 41579

Next Prime: 41593

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 7 × 11

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001001101100

Octal: 121154

Duodecimal: 20090

Hexadecimal: a26c

Square: 1728896400

Square Root: 203.91174561559714

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

Array read by antidiagonals: number of antichains (or order ideals) in the poset 3·m*n or plane partitions with rows <= m, columns <= n and entries <= 3. A56939

Triangle read by rows, T(n, k) = binomial(n, k)*binomial(n + 2, k). A62196

Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x). A97030

a(n) = n*(n+1)*(2·n+1). A55112

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

a(n) = ∏_i=1..n ((i+3)*(i+4)*(i+5))/(i*(i+1)*(i+2)). A47819

Triangle T(n,m) read by rows: T(n,m) = ∏_i=0..5 binomial(n+i,m)/binomial(m+i,m). A142465

Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1). A20696

Square array T(n,k) read by antidiagonals: number of tilings of an <n,k,n> hexagon. A103905