The number 2197
2197 is a perfect cube (). Its prime factorisation is . Divisors (4): 1, 13, 169, 2197.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2197: a perfect cube ().
- 2
2197 is composite. Its prime factorisation is
- 3
The divisors add up to 2380; without 2197 itself that is 183, so 2197 is deficient (183 is less than 2197). Euler's totient φ(2197) = 2028 numbers up to 2197 share no factor with it.
- 4
The digits of 2197 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2197 = 13^{3} \]2197 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2380 |
| Euler totient φ(n) | 2028 |
| Square | 4826809 |
| Cube | 10604499373 |
| Square root | 46.872167 (= 13√13) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 2.197 × |
| Perfect power |
2197 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and ninety-seven |
| Roman numerals | MMCXCVII |
| Binary (base 2) | 100010010101 |
| Octal (base 8) | 4225 |
| Hexadecimal (base 16) | 895 |
| Base 3 | 10000101 |
| As time | 2197 seconds = 36 min 37 s |
Is 2197 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2197 a prime number?
No. 2197 = , so it is divisible by 13.
What are the factors of 2197?
1, 13, 169, 2197.
What is 2197 in binary?
100010010101 (hexadecimal 895, octal 4225).
What is the square root of 2197?
About 46.8722, exactly 13√13.
What is 2197 in Roman numerals?
MMCXCVII.
Is 2197 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2197?
2197 is a perfect cube ().