The number 2700
2700 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36 … 2700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2700: a Harshad number: divisible by its digit sum 9.
- 2
2700 is composite. Its prime factorisation is
- 3
The divisors add up to 8680; without 2700 itself that is 5980, so 2700 is abundant (5980 is more than 2700). Euler's totient φ(2700) = 720 numbers up to 2700 share no factor with it.
- 4
The digits of 2700 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2700 = 2^{2} \times 3^{3} \times 5^{2} \]2700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 8680 |
| Euler totient φ(n) | 720 |
| Square | 7290000 |
| Cube | 19683000000 |
| Square root | 51.961524 (= 30√3) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.7 × |
2700 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred |
| Roman numerals | MMDCC |
| Binary (base 2) | 101010001100 |
| Octal (base 8) | 5214 |
| Hexadecimal (base 16) | A8C |
| Base 3 | 10201000 |
| As time | 2700 seconds = 45 min 0 s |
Is 2700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2700 ÷ 2 = 1350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2700 ÷ 3 = 900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2700 ÷ 4 = 675) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2700 ÷ 5 = 540) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2700 ÷ 6 = 450) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2700 ÷ 9 = 300) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2700 ÷ 10 = 270) | 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 | Yes (2700 ÷ 12 = 225) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2700 a prime number?
No. 2700 = × × , so it is divisible by 2.
What are the factors of 2700?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.
What is 2700 in binary?
101010001100 (hexadecimal A8C, octal 5214).
What is the square root of 2700?
About 51.9615, exactly 30√3.
What is 2700 in Roman numerals?
MMDCC.
Is 2700 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2700?
2700 is a Harshad number: divisible by its digit sum 9.