The number 2997
2997 is a composite number with 10 divisors. Its prime factorisation is × 37. Divisors (10): 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2997: a Harshad number: divisible by its digit sum 27.
- 2
2997 is composite. Its prime factorisation is
- 3
The divisors add up to 4598; without 2997 itself that is 1601, so 2997 is deficient (1601 is less than 2997). Euler's totient φ(2997) = 1944 numbers up to 2997 share no factor with it.
- 4
The digits of 2997 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2997 = 3^{4} \times 37 \]2997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 4598 |
| Euler totient φ(n) | 1944 |
| Square | 8982009 |
| Cube | 26919080973 |
| Square root | 54.744863 (= 9√37) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.997 × |
2997 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-seven |
| Roman numerals | MMCMXCVII |
| Binary (base 2) | 101110110101 |
| Octal (base 8) | 5665 |
| Hexadecimal (base 16) | BB5 |
| Base 3 | 11010000 |
| As time | 2997 seconds = 49 min 57 s |
Is 2997 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 (2997 ÷ 3 = 999) | 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 1) | 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 | Yes (2997 ÷ 9 = 333) | 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 5) | 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 2997 a prime number?
No. 2997 = × 37, so it is divisible by 3.
What are the factors of 2997?
1, 3, 9, 27, 37, 81, 111, 333, 999, 2997.
What is 2997 in binary?
101110110101 (hexadecimal BB5, octal 5665).
What is the square root of 2997?
About 54.7449, exactly 9√37.
What is 2997 in Roman numerals?
MMCMXCVII.
Is 2997 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 2997?
2997 is a Harshad number: divisible by its digit sum 27.