Properties of the Number 61809

Sixty-One Thousand Eight Hundred Nine

Basics

Value: 61808 → 61809 → 61810

Parity: odd

Prime: No

Previous Prime: 61781

Next Prime: 61813

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 1873

Divisors: 1, 3, 11, 33, 1873, 5619, 20603, 61809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000101110001

Octal: 170561

Duodecimal: 2B929

Hexadecimal: f171

Square: 3820352481

Square Root: 248.61415888882917

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

a(n) = A273059(4n). A275916

Expansion of (1/x) * Series_Reversion( x * (1-x) / B(x) ), where B(x) is the g.f. of A002293. A381914

Number of lower triangles of an (n+4) X (n+4) 0..3 array with new values introduced in row major order 0..3 and no element unequal to more than one horizontal or vertical neighbor. A194773

G.f.: A(x) = ∑_n>=0 xⁿ * A(x)^n² * (1 - A(x)^2·n+1)/(1 - A(x)). A199544

Expansion of ∑_k>=0 x^k*(k+1/2) * ∏_j=1..k (1 + x^j)^j. A306733

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,1,0,1 for x=0,1,2,3,4. A197675

When cubed gives number composed just of the digits 1, 2, 3, 4. A61809