Properties of the Number -2172

One Hundred Seventy-Two

Basics

Value: -2173 → -2172 → -2171

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 181

Divisors: 1, 2, 3, 4, 6, 12, 181, 362, 543, 724

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -100001111100

Octal: -4174

Duodecimal: -1310

Hexadecimal: -87c

Square: 4717584

Square Root: 46.604720790924176

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

Expansion of g.f. 1/((1 - x)²*(1 - 3·x + 3·x²)). A279231

G.f. A(x) satisfies: A(x) = x * (1 + (1/(1 + x)) * (A(x/(1 + x)) + A(x²/(1 + x)²) + A(x³/(1 + x)³) + ...)). A308024

Number of step shifted (decimated) sequence structures using a maximum of two different symbols. A56391

Number of n-step self-avoiding walks on square lattice. A1411

a(n) = largest number of distinct words arising in Post's tag system {00, 1101} applied to a binary word w, over all starting words w of length n, or a(n) = -1 if there is a word w with an unbounded trajectory. A284116

Numbers k such that k² divides 7^k-1. A127107

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

a(n) is the number of times that sums 3 +- 5 +- 7 +- 11 +- ... +- prime(2n+1) of the first 2n odd primes is zero. There are 2^2n-1 choices for the sign patterns. A83309

Numbers k whose largest divisor <= sqrt(k) equals 12. A162532

Numbers m such that there are precisely 18 groups of order m. A298909