The number 732
732 is a composite number with 12 divisors. Its prime factorisation is × 3 × 61. Divisors (12): 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 732: a Harshad number: divisible by its digit sum 12.
- 2
732 is composite. Its prime factorisation is
- 3
The divisors add up to 1736; without 732 itself that is 1004, so 732 is abundant (1004 is more than 732). Euler's totient φ(732) = 240 numbers up to 732 share no factor with it.
- 4
The digits of 732 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 732 = 2^{2} \times 3 \times 61 \]732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1736 |
| Euler totient φ(n) | 240 |
| Square | 535824 |
| Cube | 392223168 |
| Square root | 27.055499 (= 2√183) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 7.32 × |
732 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and thirty-two |
| Roman numerals | DCCXXXII |
| Binary (base 2) | 1011011100 |
| Octal (base 8) | 1334 |
| Hexadecimal (base 16) | 2DC |
| Base 3 | 1000010 |
| As time | 732 seconds = 12 min 12 s |
Is 732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (732 ÷ 2 = 366) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (732 ÷ 3 = 244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (732 ÷ 4 = 183) | 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 | Yes (732 ÷ 6 = 122) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (732 ÷ 12 = 61) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 732 a prime number?
No. 732 = × 3 × 61, so it is divisible by 2.
What are the factors of 732?
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732.
What is 732 in binary?
1011011100 (hexadecimal 2DC, octal 1334).
What is the square root of 732?
About 27.0555, exactly 2√183.
What is 732 in Roman numerals?
DCCXXXII.
Is 732 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 732?
732 is a Harshad number: divisible by its digit sum 12.