The number 2712
2712 is a composite number with 16 divisors. Its prime factorisation is × 3 × 113. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2712: a Harshad number: divisible by its digit sum 12.
- 2
2712 is composite. Its prime factorisation is
- 3
The divisors add up to 6840; without 2712 itself that is 4128, so 2712 is abundant (4128 is more than 2712). Euler's totient φ(2712) = 896 numbers up to 2712 share no factor with it.
- 4
The digits of 2712 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2712 = 2^{3} \times 3 \times 113 \]2712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6840 |
| Euler totient φ(n) | 896 |
| Square | 7354944 |
| Cube | 19946608128 |
| Square root | 52.076866 (= 2√678) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.712 × |
2712 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and twelve |
| Roman numerals | MMDCCXII |
| Binary (base 2) | 101010011000 |
| Octal (base 8) | 5230 |
| Hexadecimal (base 16) | A98 |
| Base 3 | 10201110 |
| As time | 2712 seconds = 45 min 12 s |
Is 2712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2712 ÷ 2 = 1356) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2712 ÷ 3 = 904) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2712 ÷ 4 = 678) | 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 | Yes (2712 ÷ 6 = 452) | 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 | Yes (2712 ÷ 8 = 339) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2712 ÷ 12 = 226) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2712 a prime number?
No. 2712 = × 3 × 113, so it is divisible by 2.
What are the factors of 2712?
1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712.
What is 2712 in binary?
101010011000 (hexadecimal A98, octal 5230).
What is the square root of 2712?
About 52.0769, exactly 2√678.
What is 2712 in Roman numerals?
MMDCCXII.
Is 2712 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2712?
2712 is a Harshad number: divisible by its digit sum 12.