Properties of the Number 36209

Thirty-Six Thousand Two Hundred Nine

Basics

Value: 36208 → 36209 → 36210

Parity: odd

Prime: Yes

Previous Prime: 36191

Next Prime: 36217

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 36209

Divisors: 1, 36209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110101110001

Octal: 106561

Duodecimal: 18B55

Hexadecimal: 8d71

Square: 1311091681

Square Root: 190.2866259094422

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

Numerators of the squarefree totient analogs of the harmonic numbers F_n. A138316

Expansion of -x*(8·x²-4·x+1) / ((2·x-1)*(4·x²-x+1)). A112260

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=1, k=0 and l=-1. A176677

Primes p that remain prime through 3 iterations of function f(x) = 6x - 1. A289109

Number of sequences in which the games of a single-elimination tournament with n teams can be played if arbitrarily many arenas are available and the tournament bracket is chosen to be the bracket with the largest such number of sequences. A380767

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 1, 0)}. A149012

Log base 6 (n) mod 251. A36209