Properties of the Number 82167

Eighty-Two Thousand One Hundred Sixty-Seven

Basics

Value: 82166 → 82167 → 82168

Parity: odd

Prime: No

Previous Prime: 82163

Next Prime: 82171

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 61 × 449

Divisors: 1, 3, 61, 183, 449, 1347, 27389, 82167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000011110111

Octal: 240367

Duodecimal: 3B673

Hexadecimal: 140f7

Square: 6751415889

Square Root: 286.6478676006504

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

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0. A264163

Denominators of continued fraction convergents to sqrt(151). A41277

Fibonacci sequence beginning 14, 11. A206605

Number of (n+1)X(3+1) arrays of permutations of 0..n·4+3 with each element having directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0. A264160

Number of (n+1)X(4+1) arrays of permutations of 0..n·5+4 with each element having directed index change 0,1 0,-1 0,2 1,0 -1,0 or 2,0. A264161

sin(sec(x)*arcsin(x))=x+3/3!*x³+5/5!*x⁵-889/7!*x⁷-82167/9!*x⁹... A12783

Expansion of e.g.f.: exp(sech(x)*arcsinh(x))=1+x+1/2!*x²-3/3!*x³-15/4!*x⁴+5/5!*x⁵... A12881

Duplicate of A006690. A82167