The number 2720
2720 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136 … 2720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2720 is composite. Its prime factorisation is
- 3
The divisors add up to 6804; without 2720 itself that is 4084, so 2720 is abundant (4084 is more than 2720). Euler's totient φ(2720) = 1024 numbers up to 2720 share no factor with it.
- 4
The digits of 2720 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 14 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2720 = 2^{5} \times 5 \times 17 \]2720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6804 |
| Euler totient φ(n) | 1024 |
| Square | 7398400 |
| Cube | 20123648000 |
| Square root | 52.153619 (= 4√170) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 14 |
| Scientific notation | 2.72 × |
2720 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and twenty |
| Roman numerals | MMDCCXX |
| Binary (base 2) | 101010100000 |
| Octal (base 8) | 5240 |
| Hexadecimal (base 16) | AA0 |
| Base 3 | 10201202 |
| As time | 2720 seconds = 45 min 20 s |
Is 2720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2720 ÷ 2 = 1360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2720 ÷ 4 = 680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2720 ÷ 5 = 544) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (2720 ÷ 8 = 340) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2720 ÷ 10 = 272) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2720 a prime number?
No. 2720 = × 5 × 17, so it is divisible by 2.
What are the factors of 2720?
1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720.
What is 2720 in binary?
101010100000 (hexadecimal AA0, octal 5240).
What is the square root of 2720?
About 52.1536, exactly 4√170.
What is 2720 in Roman numerals?
MMDCCXX.
Is 2720 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2720?
It is a composite number with 24 divisors.