The number 2397
2397 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 47. Divisors (8): 1, 3, 17, 47, 51, 141, 799, 2397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2397 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2397 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 2397 itself that is 1059, so 2397 is deficient (1059 is less than 2397). Euler's totient φ(2397) = 1472 numbers up to 2397 share no factor with it.
- 4
The digits of 2397 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2397 = 3 \times 17 \times 47 \]
2397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 1472 |
| Square | 5745609 |
| Cube | 13772224773 |
| Square root | 48.959167 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.397 × |
2397 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and ninety-seven |
| Roman numerals | MMCCCXCVII |
| Binary (base 2) | 100101011101 |
| Octal (base 8) | 4535 |
| Hexadecimal (base 16) | 95D |
| Base 3 | 10021210 |
| As time | 2397 seconds = 39 min 57 s |
Is 2397 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 | Yes (2397 ÷ 3 = 799) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2397 a prime number?
No. 2397 = 3 × 17 × 47, so it is divisible by 3.
What are the factors of 2397?
1, 3, 17, 47, 51, 141, 799, 2397.
What is 2397 in binary?
100101011101 (hexadecimal 95D, octal 4535).
What is the square root of 2397?
About 48.9592.
What is 2397 in Roman numerals?
MMCCCXCVII.
Is 2397 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2397?
It is a composite number with 8 divisors.