The number 2970
2970 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 11. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54 … 2970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2970: a Harshad number: divisible by its digit sum 18.
- 2
2970 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 2970 itself that is 5670, so 2970 is abundant (5670 is more than 2970). Euler's totient φ(2970) = 720 numbers up to 2970 share no factor with it.
- 4
The digits of 2970 add up to 18, 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
\[ 2970 = 2 \times 3^{3} \times 5 \times 11 \]2970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 720 |
| Square | 8820900 |
| Cube | 26198073000 |
| Square root | 54.497706 (= 3√330) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.97 × |
2970 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and seventy |
| Roman numerals | MMCMLXX |
| Binary (base 2) | 101110011010 |
| Octal (base 8) | 5632 |
| Hexadecimal (base 16) | B9A |
| Base 3 | 11002000 |
| As time | 2970 seconds = 49 min 30 s |
Is 2970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2970 ÷ 2 = 1485) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2970 ÷ 3 = 990) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2970 ÷ 5 = 594) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2970 ÷ 6 = 495) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2970 ÷ 9 = 330) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2970 ÷ 10 = 297) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2970 ÷ 11 = 270) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2970 a prime number?
No. 2970 = 2 × × 5 × 11, so it is divisible by 2.
What are the factors of 2970?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970.
What is 2970 in binary?
101110011010 (hexadecimal B9A, octal 5632).
What is the square root of 2970?
About 54.4977, exactly 3√330.
What is 2970 in Roman numerals?
MMCMLXX.
Is 2970 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2970?
2970 is a Harshad number: divisible by its digit sum 18.