Properties of the Number 172

One Hundred Seventy-Two

Basics

Value: 171 → 172 → 173

Parity: even

Prime: No

Previous Prime: 167

Next Prime: 173

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 43

Divisors: 1, 2, 4, 43, 86, 172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100

Octal: 254

Duodecimal: 124

Hexadecimal: ac

Square: 29584

Square Root: 13.114877048604

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

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's. A14486

a(n) = prime(n) - 1. A6093

Numbers that are the product of exactly three (not necessarily distinct) primes. A14612

a(n) = 3·n + 1. A16777

Number of knapsack partitions of n. A108917

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

Number of partitions of n into parts each of which is used a different number of times. A98859

The Collatz or 3x+1 map: a(n) = n/2 if n is even, 3n + 1 if n is odd. A6370

Multiples of 4. A8586

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