Properties of the Number 36693

Thirty-Six Thousand Six Hundred Ninety-Three

Basics

Value: 36692 → 36693 → 36694

Parity: odd

Prime: No

Previous Prime: 36691

Next Prime: 36697

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 151

Divisors: 1, 3, 9, 27, 81, 151, 243, 453, 1359, 4077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101010101

Octal: 107525

Duodecimal: 19299

Hexadecimal: 8f55

Square: 1346376249

Square Root: 191.55416988413486

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 nonnegative integer solutions to n = ∑_i=1..n (a_i + b_i), with b_i even. A348410

Expansion of ∏_k>=1 ((1 + x^k) / (1 - x^3·k))^k. A285446

Number of partitions of n such that the number of parts or the number of distinct parts is a part. A241381

G.f. satisfies A(x) = ( 1 + x·A(x)^1/3 * (1 + A(x)) )^3/2. A371724

Number of compositions (ordered partitions) of n such that some part is repeated consecutively 3 times and no part is repeated consecutively more than 3 times. A91617

Eighth column (m=7) of convolution triangle A059594(n,m). A59596

Numbers k such that 3·6^k - 1 is prime. A186106

Square array read by ascending antidiagonals: T(n,k) = 1/n * [x^k] 1/((1 - x)*(1 - x²))^n·k for n, k >= 1. A363419

Number of Gaussian integers z = a + bi satisfying n-1 < |z| <= n. A36693