Properties of the Number 36646

Thirty-Six Thousand Six Hundred Forty-Six

Basics

Value: 36645 → 36646 → 36647

Parity: even

Prime: No

Previous Prime: 36643

Next Prime: 36653

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 73 × 251

Divisors: 1, 2, 73, 146, 251, 502, 18323, 36646

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100100110

Octal: 107446

Duodecimal: 1925A

Hexadecimal: 8f26

Square: 1342929316

Square Root: 191.43144987174912

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

Number of integer partitions of n into an odd number of parts, the greatest of which is odd. A340385

Array read by antidiagonals: T(n,k) is the number of {-1,0,1} n X k matrices with all rows and columns summing to zero up to permutations of rows. A377063

Number of 3 X n 0..2 matrices with row sums n and column sums 3 up to permutations of rows. A377065

Convolution of A000108 (Catalan numbers) with A045543. A45622

Numbers n such that 4·10ⁿ + R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102982

Number of binary strings of length n with no substrings equal to 0001 0101 or 1100. A164474

a(n) = K₄(n) = ∑_k>=0 A090285(4,k)*2^k*binomial(n,k). a(n) = 2*(n⁴+14·n³+62·n²+91·n+21)/3. A90296

Number of binary min-heaps on n elements from the set {0,1} that give a max-heap when reversed. A379272

Number of 6-ary rooted trees with n nodes and height exactly 8. A36646