Properties of the Number 168

One Hundred Sixty-Eight

Basics

Value: 167 → 168 → 169

Parity: even

Prime: No

Previous Prime: 167

Next Prime: 173

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000

Octal: 250

Duodecimal: 120

Hexadecimal: a8

Square: 28224

Square Root: 12.96148139681572

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

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

a(n) = σ(n), the sum of the divisors of n. Also called sigma₁(n). A203

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

Numbers k such that (35·10^k - 11)/3 is prime. A268448

Abundant numbers (sum of divisors of m exceeds 2m). A5101

a(n) = n*(n+2) = (n+1)² - 1. A5563

a(n) = 3·n. A8585

a(n) = ∑_k=1..n floor(n/k); also ∑_k=1..n d(k), where d = number of divisors (A000005); also number of solutions to x·y = z with 1 <= x,y,z <= n. A6218

Constant term of the reduction of n-th Fibonacci polynomial by x² -> x+1. (See Comments.) A192232

Positive integers which are neither squarefree integers nor prime powers. A126706

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