Properties of the Number 67836

Sixty-Seven Thousand Eight Hundred Thirty-Six

Basics

Value: 67835 → 67836 → 67837

Parity: even

Prime: No

Previous Prime: 67829

Next Prime: 67843

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5653

Divisors: 1, 2, 3, 4, 6, 12, 5653, 11306, 16959, 22612

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100011111100

Octal: 204374

Duodecimal: 33310

Hexadecimal: 108fc

Square: 4601722896

Square Root: 260.4534507354433

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 -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having two or three distinct values for every i<=n and j<=n. A211689

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, 0, -1), (1, 0, 0)}. A150100

Let a(1)=2, f(n)=a(1)*a(2)*...*a(n-1) for n>=1 and a(n)=nextprime(f(n)+1)-f(n) for n>=2, where nextprime(x) is the smallest prime > x. A67836