Properties of the Number 36629

Thirty-Six Thousand Six Hundred Twenty-Nine

Basics

Value: 36628 → 36629 → 36630

Parity: odd

Prime: Yes

Previous Prime: 36607

Next Prime: 36637

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 36629

Divisors: 1, 36629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100010101

Octal: 107425

Duodecimal: 19245

Hexadecimal: 8f15

Square: 1341683641

Square Root: 191.38704240360684

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

E.g.f. A(x) satisfies: [x^n-1] A(x)^n⁵ = [xⁿ] A(x)^n⁵ for n>=1. A296176

Primes q = 4·p+1, where p == 2 (mod 5) is also prime. A221981

Primes of the form 666·k - 1. A63472

Sum of the first n n-digit primes less n·10^n-1. A114053

Primes of the form 3·k² + 9·k + 5. A171838

Primes p such that (p+nextprime(p))/6 is prime and 6·p is the sum of two consecutive primes. A339775

First of four consecutive primes with product p and sum s such that |s²-p| and s²+p are both prime. A391121

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 16. A31604

G.f. equals the logarithm of the e.g.f. of A296176. A296177

Number of 4-ary rooted trees with n nodes and height exactly 5. A36629