Properties of the Number 176

One Hundred Seventy-Six

Basics

Value: 175 → 176 → 177

Parity: even

Prime: No

Previous Prime: 173

Next Prime: 179

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 11

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000

Octal: 260

Duodecimal: 128

Hexadecimal: b0

Square: 30976

Square Root: 13.2664991614216

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) is the number of partitions of n (the partition numbers). A41

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

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

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

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Octagonal numbers: n*(3·n-2). Also called star numbers. A567

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

Multiples of 4. A8586

a(n) = 3·n + 2. A16789

a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges. A1399

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