Properties of the Number 36085

Thirty-Six Thousand Eighty-Five

Basics

Value: 36084 → 36085 → 36086

Parity: odd

Prime: No

Previous Prime: 36083

Next Prime: 36097

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 1031

Divisors: 1, 5, 7, 35, 1031, 5155, 7217, 36085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011110101

Octal: 106365

Duodecimal: 18A71

Hexadecimal: 8cf5

Square: 1302127225

Square Root: 189.9605222144854

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

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251885

Expansion of g.f. (1+x-x²)/((1-x)*(1-3·x)). A52909

Peak- and valleyless Motzkin meanders. A308435

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A49893

a(n) = (11·9ⁿ-1)/2. A198969

Expansion of 1/((1-x)*(1-2·x)*(1-3·x)*(1-12·x)). A21064

Sum of the orders of the elements in the group GL(2,Z_n). A86147

Number of (n+2)X(2+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251879

Number of (n+2)X(3+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251880

Largest order of a rooted tree that does not contain a rooted caterpillar subtree of order n. A253062