Properties of the Number 2197

Two Thousand One Hundred Ninety-Seven

Basics

Value: 2196 → 2197 → 2198

Parity: odd

Prime: No

Previous Prime: 2179

Next Prime: 2203

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13 ³

Divisors: 1, 13, 169, 2197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010010101

Octal: 4225

Duodecimal: 1331

Hexadecimal: 895

Square: 4826809

Square Root: 46.87216658103186

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

The cubes: a(n) = n³. A578

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

Cubes of primes. A30078

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

Prime shift array: Square array read by antidiagonals: A(1,col) = 2·col, and for row > 1, A(row,col) = A003961(A(row-1,col)). A246278

Powers of 13: a(n) = 13ⁿ. A1022

Numbers of the form p^e where both p and e are prime numbers. A53810

Perfect powers m^k where m is a positive integer and k >= 3. A76467

Third power of Fibonacci numbers (A000045). A56570