The number 752
752 is a composite number with 10 divisors. Its prime factorisation is × 47. Divisors (10): 1, 2, 4, 8, 16, 47, 94, 188, 376, 752.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
752 is composite. Its prime factorisation is
- 3
The divisors add up to 1488; without 752 itself that is 736, so 752 is deficient (736 is less than 752). Euler's totient φ(752) = 368 numbers up to 752 share no factor with it.
- 4
The digits of 752 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 752 = 2^{4} \times 47 \]752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 1488 |
| Euler totient φ(n) | 368 |
| Square | 565504 |
| Cube | 425259008 |
| Square root | 27.422618 (= 4√47) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 108 |
| Scientific notation | 7.52 × |
752 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and fifty-two |
| Roman numerals | DCCLII |
| Binary (base 2) | 1011110000 |
| Octal (base 8) | 1360 |
| Hexadecimal (base 16) | 2F0 |
| Base 3 | 1000212 |
| As time | 752 seconds = 12 min 32 s |
Is 752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (752 ÷ 2 = 376) | 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 (752 ÷ 4 = 188) | 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 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 (752 ÷ 8 = 94) | 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 | No (remainder 4) | 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 752 a prime number?
No. 752 = × 47, so it is divisible by 2.
What are the factors of 752?
1, 2, 4, 8, 16, 47, 94, 188, 376, 752.
What is 752 in binary?
1011110000 (hexadecimal 2F0, octal 1360).
What is the square root of 752?
About 27.4226, exactly 4√47.
What is 752 in Roman numerals?
DCCLII.
Is 752 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 752?
It is a composite number with 10 divisors.