Properties of the Number 36796

Thirty-Six Thousand Seven Hundred Ninety-Six

Basics

Value: 36795 → 36796 → 36797

Parity: even

Prime: No

Previous Prime: 36793

Next Prime: 36809

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 9199

Divisors: 1, 2, 4, 9199, 18398, 36796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111110111100

Octal: 107674

Duodecimal: 19364

Hexadecimal: 8fbc

Square: 1353945616

Square Root: 191.8228349284829

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

Number of integer partitions of n containing all divisors of all parts. A371178

a(n) = 14·a(n-1) - 47·a(n-2) for n > 1; a(0) = 1, a(1) = 8. A163459

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202676 based on (1,4,7,10,13,...); by antidiagonals. A202677

a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2·k,k)/(k+1) equals n. A81395

Number of -n..n arrays x(0..4) of 5 elements with zero sum and no two neighbors summing to zero. A199834

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (0, -1), (1, 0), (1, 1)}. A151429

Numbers k such that (85·10^k + 293)/9 is prime. A294680

Integers that can be decomposed into sums of different Fibonacci numbers of odd argument. A36796