Properties of the Number 36083

Thirty-Six Thousand Eighty-Three

Basics

Value: 36082 → 36083 → 36084

Parity: odd

Prime: Yes

Previous Prime: 36073

Next Prime: 36097

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 36083

Divisors: 1, 36083

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011110011

Octal: 106363

Duodecimal: 18A6B

Hexadecimal: 8cf3

Square: 1301982889

Square Root: 189.95525788985154

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

Sum of the fifth largest parts in the partitions of n into 8 parts. A308994

Expansion of g.f. A(x) satisfying 5 = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (5·A(x) + x^2·n-1)ⁿ⁺¹. A363185

Cyclops Sophie-Germain primes. A183058

Primes p such that 2·p² + 3 and 2·p² + 5 are also primes. A247197

Primes p such that 2·p+1 and 4·p²+1 are also prime. A333803

Primes p1 such that the sum of 9 consecutive primes, p1+p2+p3+p4+p5+p6+p7+p8+p9, and the three sums (p1+p2+p3), (p4+p5+p6), (p7+p8+p9) are all prime numbers. A343683

Primes having only {0, 3, 6, 8} as digits. A386066

Number of planar n X n X n binary triangular grids symmetric both under 120-degree rotation and reflection with no more than 1 one in any 3 X 3 X 3 subtriangle. A153901

Prime powers of the form 12·c² + 4·c + 3, where c is an arbitrary integer. A309027

Numbers k such that (31^k + 2^k)/33 is prime. A379429