The number 332
332 is a composite number with 6 divisors. Its prime factorisation is × 83. Divisors (6): 1, 2, 4, 83, 166, 332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
332 is composite. Its prime factorisation is
- 3
The divisors add up to 588; without 332 itself that is 256, so 332 is deficient (256 is less than 332). Euler's totient φ(332) = 164 numbers up to 332 share no factor with it.
- 4
The digits of 332 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 332 = 2^{2} \times 83 \]332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 588 |
| Euler totient φ(n) | 164 |
| Square | 110224 |
| Cube | 36594368 |
| Square root | 18.220867 (= 2√83) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 3.32 × |
332 in other forms
| Form | Value |
|---|---|
| In words | three hundred and thirty-two |
| Roman numerals | CCCXXXII |
| Binary (base 2) | 101001100 |
| Octal (base 8) | 514 |
| Hexadecimal (base 16) | 14C |
| Base 3 | 110022 |
| As time | 332 seconds = 5 min 32 s |
Is 332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (332 ÷ 2 = 166) | 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 (332 ÷ 4 = 83) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 332 a prime number?
No. 332 = × 83, so it is divisible by 2.
What are the factors of 332?
1, 2, 4, 83, 166, 332.
What is 332 in binary?
101001100 (hexadecimal 14C, octal 514).
What is the square root of 332?
About 18.2209, exactly 2√83.
What is 332 in Roman numerals?
CCCXXXII.
Is 332 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 332?
It is a composite number with 6 divisors.