Properties of the Number 67328

Sixty-Seven Thousand Three Hundred Twenty-Eight

Basics

Value: 67327 → 67328 → 67329

Parity: even

Prime: No

Previous Prime: 67307

Next Prime: 67339

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁸ × 263

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011100000000

Octal: 203400

Duodecimal: 32B68

Hexadecimal: 10700

Square: 4533059584

Square Root: 259.4763958436297

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

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (1,4,4,...) and super- and subdiagonals (1,1,1,...). A124576

E.g.f. satisfies A(x) = exp(x·A(x)) * cosh(x·A(x)). A201595

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood. A286969

p-INVERT of (1,1,0,0,0,0,...), where p(S) = (1 - 4 S)². A291387

sinh(arcsin(arctan(x)))=x+4/5!*x⁵-32/7!*x⁷+1936/9!*x⁹-67328/11!*x¹¹... A12092

Numbers k that divide the k-th Domb number. A372941

Expansion of e.g.f.: exp(arcsin(arctan(x)))=1+x+1/2!*x²-3/4!*x⁴+4/5!*x⁵+69/6!*x⁶... A12087

a(n) = 2^n-2*(3·binomial(n,3) + 6·binomial(n,2) + 6·n + 4). A385589

E.g.f. satisfies: A(x) = x/(1 - tanh(A(x))). A214225

Row sums of unsigned triangle A075513. A74932