Properties of the Number 36805

Thirty-Six Thousand Eight Hundred Five

Basics

Value: 36804 → 36805 → 36806

Parity: odd

Prime: No

Previous Prime: 36793

Next Prime: 36809

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 17 × 433

Divisors: 1, 5, 17, 85, 433, 2165, 7361, 36805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111000101

Octal: 107705

Duodecimal: 19371

Hexadecimal: 8fc5

Square: 1354608025

Square Root: 191.84629264074925

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.: exp( ∑_n>=1 A005063(n)*xⁿ/n ), where A005063(n) = sum of squares of primes dividing n. A219224

Expansion of χ(q)⁵ / χ(q⁵) in powers of q where χ() is a Ramanujan θ function. A225701

Sum of previous term and preceding non-divisors. A120610

Expansion of χ(-q)⁵ / χ(-q⁵) in powers of q where χ() is a Ramanujan θ function. A138521

Positive numbers y such that y² is of the form x²+(x+343)² with integer x. A157246

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation. A147044

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 0), (1, -1, 0), (1, 0, -1), (1, 1, 1)}. A149799

a(n) is the least positive k such that A000041(n) divides A000041(n+k), or 0 if no such k exists. A346696

Number of nX7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally. A232919

Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)). A36805