Properties of the Number 73806

Seventy-Three Thousand Eight Hundred Six

Basics

Value: 73805 → 73806 → 73807

Parity: even

Prime: No

Previous Prime: 73783

Next Prime: 73819

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 12301

Divisors: 1, 2, 3, 6, 12301, 24602, 36903, 73806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000001001110

Octal: 220116

Duodecimal: 36866

Hexadecimal: 1204e

Square: 5447325636

Square Root: 271.67259707228476

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

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions on one edge equal the Farey series of order n while on the other they divide its length into n equal segments. A359977

a(n) = (5·3ⁿ-2·n-1)/4. A244762

Number of (n+2) X (4+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252807

Growth series for group with presentation < S, T : S² = T³ = (S·T)¹² = 1 >. A299253

G.f.: ∑_n>=0 (1 + xⁿ*(1+x)ⁿ)ⁿ * xⁿ. A337745

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252811

Number of divisors of sum of square of divisors. A73806