Properties of the Number 2168

Two Thousand One Hundred Sixty-Eight

Basics

Value: 2167 → 2168 → 2169

Parity: even

Prime: No

Previous Prime: 2161

Next Prime: 2179

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 271

Divisors: 1, 2, 4, 8, 271, 542, 1084, 2168

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001111000

Octal: 4170

Duodecimal: 1308

Hexadecimal: 878

Square: 4700224

Square Root: 46.561786907291264

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

a(n) = 6·n² + 2 for n > 0, a(0)=1. A5897

Number of compositions (ordered partitions) of n where the gcd of the part sizes is not 1. A178472

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Number of partitions of n into parts >= 5. A185325

Number of partitions of n in which the least part is 5. A26798

Expansion of (1-x+x²)/((1-x)²*(1-x²)*(1-x⁴)). A5232

Partial sums of ceiling(n²/2) (A000982). A131941

Number of compositions of n where any two parts have a common divisor > 1. A337667

Triangle read by rows: T(n,k) is the number of unlabeled acyclic digraphs with n >= 0 nodes and n-k outnodes (0 <= k <= n). A122078

Number of strict integer partitions y of n with a fixed point y(i) = i. A352829