The number 1332
1332 is a composite number with 18 divisors. Its prime factorisation is × × 37. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444 … 1332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1332: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
1332 is composite. Its prime factorisation is
- 3
The divisors add up to 3458; without 1332 itself that is 2126, so 1332 is abundant (2126 is more than 1332). Euler's totient φ(1332) = 432 numbers up to 1332 share no factor with it.
- 4
The digits of 1332 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1332 = 2^{2} \times 3^{2} \times 37 \]1332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 3458 |
| Euler totient φ(n) | 432 |
| Square | 1774224 |
| Cube | 2363266368 |
| Square root | 36.496575 (= 6√37) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.332 × |
1332 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-two |
| Roman numerals | MCCCXXXII |
| Binary (base 2) | 10100110100 |
| Octal (base 8) | 2464 |
| Hexadecimal (base 16) | 534 |
| Base 3 | 1211100 |
| As time | 1332 seconds = 22 min 12 s |
Is 1332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1332 ÷ 2 = 666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1332 ÷ 3 = 444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1332 ÷ 4 = 333) | 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 (1332 ÷ 6 = 222) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (1332 ÷ 9 = 148) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1332 ÷ 12 = 111) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1332 a prime number?
No. 1332 = × × 37, so it is divisible by 2.
What are the factors of 1332?
1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332.
What is 1332 in binary?
10100110100 (hexadecimal 534, octal 2464).
What is the square root of 1332?
About 36.4966, exactly 6√37.
What is 1332 in Roman numerals?
MCCCXXXII.
Is 1332 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1332?
1332 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.