Properties of the Number 36735

Thirty-Six Thousand Seven Hundred Thirty-Five

Basics

Value: 36734 → 36735 → 36736

Parity: odd

Prime: No

Previous Prime: 36721

Next Prime: 36739

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 31 × 79

Divisors: 1, 3, 5, 15, 31, 79, 93, 155, 237, 395

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101111111

Octal: 107577

Duodecimal: 19313

Hexadecimal: 8f7f

Square: 1349460225

Square Root: 191.66376809402448

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

The lexicographically earliest sequence of binary encodings of solutions satisfying the equation given in A059871. A59873

The lexicographically earliest sequence of binary encodings of solutions satisfying the equation p_i = (1+mod(i,2))*p_i-1 +- p_i-2 +- p_i-3 +- ... +- 2 + 1, where p_i is the i-th prime number. A59874

a(n) = the smallest number m such that there are exactly n sets of consecutive primes, each of which has an arithmetic mean of m. A50237

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

Numbers n such that 36n+11, 36(n+1)+11, 36(n+2)+11 and 36(n+3)+11 are prime. A255608

G.f. satisfies A(x) = 1 + x·cycle_index(G,A(x)) where G = cyclic group of order 31 generated by (1,2,...,31). A36735