The number 272
272 is a palindrome: it reads 272 backwards too. Its prime factorisation is × 17. Divisors (10): 1, 2, 4, 8, 16, 17, 34, 68, 136, 272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 272: a palindrome: it reads 272 backwards too.
- 2
272 is composite. Its prime factorisation is
- 3
The divisors add up to 558; without 272 itself that is 286, so 272 is abundant (286 is more than 272). Euler's totient φ(272) = 128 numbers up to 272 share no factor with it.
- 4
The digits of 272 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 16 steps to reach 1.
LaTeX source of the formulas on this page
\[ 272 = 2^{4} \times 17 \]272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 558 |
| Euler totient φ(n) | 128 |
| Square | 73984 |
| Cube | 20123648 |
| Square root | 16.492423 (= 4√17) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 16 |
| Scientific notation | 2.72 × |
272 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seventy-two |
| Roman numerals | CCLXXII |
| Binary (base 2) | 100010000 |
| Octal (base 8) | 420 |
| Hexadecimal (base 16) | 110 |
| Base 3 | 101002 |
| As time | 272 seconds = 4 min 32 s |
Is 272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (272 ÷ 2 = 136) | 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 (272 ÷ 4 = 68) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (272 ÷ 8 = 34) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 272 a prime number?
No. 272 = × 17, so it is divisible by 2.
What are the factors of 272?
1, 2, 4, 8, 16, 17, 34, 68, 136, 272.
What is 272 in binary?
100010000 (hexadecimal 110, octal 420).
What is the square root of 272?
About 16.4924, exactly 4√17.
What is 272 in Roman numerals?
CCLXXII.
Is 272 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 272?
272 is a palindrome: it reads 272 backwards too.