Properties of the Number 36315

Thirty-Six Thousand Three Hundred Fifteen

Basics

Value: 36314 → 36315 → 36316

Parity: odd

Prime: No

Previous Prime: 36313

Next Prime: 36319

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 269

Divisors: 1, 3, 5, 9, 15, 27, 45, 135, 269, 807

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110111011011

Octal: 106733

Duodecimal: 19023

Hexadecimal: 8ddb

Square: 1318779225

Square Root: 190.56494955788696

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

Odd triangular numbers with prime indices. A34954

a(n) = floor(e^(n-1/2)). A5182

a(n) = 49*(n*(n+1)/2) + 6. A61792

Odd numbers k such that the palindromic wing number (a.k.a. near-repdigit palindrome) 7*(10^k - 1)/9 - 2·10^(k-1/2) is prime. A77785

Hexagonal numbers (A000384) which are sum of 2 other hexagonal numbers > 0. A133215

Numbers k such that k | 12^k + 11^k + 1. A57293

Triangular numbers which are a concatenation of two or more positive triangular numbers. A68144

Triangular numbers for which the sum of the digits is a heptagonal number. A117312

a(n) = 3^-1+floor(n/2)*A(n), where A(n) = 3·A(n-1) + A(n-2) - A(n-3)/3 with A(0)=A(1)=3, A(2)=11. A217336

a(n) = floor(e^{n + 1/2}). A219092