Properties of the Number 2187

Two Thousand One Hundred Eighty-Seven

Basics

Value: 2186 → 2187 → 2188

Parity: odd

Prime: No

Previous Prime: 2179

Next Prime: 2203

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁷

Divisors: 1, 3, 9, 27, 81, 243, 729, 2187

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100010001011

Octal: 4213

Duodecimal: 1323

Hexadecimal: 88b

Square: 4782969

Square Root: 46.76537180435969

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: Yes

Taxicab Number: No

Super Prime: No

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Powers of 3: a(n) = 3ⁿ. A244

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

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

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

a(n) = 3·n². A33428

a(2n) = 3ⁿ, a(2n+1) = 2·3ⁿ. A38754

a(n) = max{(n - i)*a(i) : i < n}; a(0) = 1. A792

Seventh powers: a(n) = n⁷. A1015