Properties of the Number 73386

Seventy-Three Thousand Three Hundred Eighty-Six

Basics

Value: 73385 → 73386 → 73387

Parity: even

Prime: No

Previous Prime: 73379

Next Prime: 73387

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 151

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 151

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111010101010

Octal: 217252

Duodecimal: 36576

Hexadecimal: 11eaa

Square: 5385504996

Square Root: 270.8985049792634

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 whose parts do not have the same mean as median. A359894

Triangle read by rows: T(n, k) = t(n-k, k), where t(0,0) = 1, t(n,m) = 0 if n < 0 or m < 0, else t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), and f(n) = 3·n + 3. A257620

Number of achiral m-color cyclic compositions of n (that is, number of cyclic compositions of n with reflection symmetry where each part of size m can be colored with one of m colors). A308747

Ninth convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself. A73386

G.f. A(x) satisfies A( (x + 3·A(x)²)³ ) = A(x)³. A376224