The number 572
572 is a composite number with 12 divisors. Its prime factorisation is × 11 × 13. Divisors (12): 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
572 is composite. Its prime factorisation is
- 3
The divisors add up to 1176; without 572 itself that is 604, so 572 is abundant (604 is more than 572). Euler's totient φ(572) = 240 numbers up to 572 share no factor with it.
- 4
The digits of 572 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 572 = 2^{2} \times 11 \times 13 \]572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1176 |
| Euler totient φ(n) | 240 |
| Square | 327184 |
| Cube | 187149248 |
| Square root | 23.916521 (= 2√143) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 105 |
| Scientific notation | 5.72 × |
572 in other forms
| Form | Value |
|---|---|
| In words | five hundred and seventy-two |
| Roman numerals | DLXXII |
| Binary (base 2) | 1000111100 |
| Octal (base 8) | 1074 |
| Hexadecimal (base 16) | 23C |
| Base 3 | 210012 |
| As time | 572 seconds = 9 min 32 s |
Is 572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (572 ÷ 2 = 286) | 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 (572 ÷ 4 = 143) | 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 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 | No (remainder 5) | 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 | Yes (572 ÷ 11 = 52) | 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 572 a prime number?
No. 572 = × 11 × 13, so it is divisible by 2.
What are the factors of 572?
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
What is 572 in binary?
1000111100 (hexadecimal 23C, octal 1074).
What is the square root of 572?
About 23.9165, exactly 2√143.
What is 572 in Roman numerals?
DLXXII.
Is 572 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 572?
It is a composite number with 12 divisors.