Properties of the Number 36963

Thirty-Six Thousand Nine Hundred Sixty-Three

Basics

Value: 36962 → 36963 → 36964

Parity: odd

Prime: No

Previous Prime: 36947

Next Prime: 36973

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 3 ³ × 37 ²

Divisors: 1, 3, 9, 27, 37, 111, 333, 999, 1369, 4107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000001100011

Octal: 110143

Duodecimal: 19483

Hexadecimal: 9063

Square: 1366263369

Square Root: 192.25763964014538

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

Numbers m such that m divides 10^m - 1. A14950

Numbers k such that k | 11^k + 1. A15960

Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 6 and (n+7) mod 9 <> 1. A96025

a(n) = 27·n². A244634

a(n) is the least k such that k and k+n are adjacent powerful numbers. A103954

Final terms of rows of A077529. A77530

Odd Achilles numbers. A390953

Palindromes expressible as the sum of 3 consecutive palindromes. A46498

a(n) is the smallest k such that number of non-unitary prime divisors of central binomial coefficient, A001405(k) = C(k, floor(k/2)) equals n. A81394

Palindromes with distinct prime signatures that occur naturally. Smallest palindrome with a prime signature of A025487(n), or 0 if no such number exists. A83435