The number 3332
3332 is a composite number with 18 divisors. Its prime factorisation is × × 17. Divisors (18): 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833 … 3332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3332: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3332 is composite. Its prime factorisation is
- 3
The divisors add up to 7182; without 3332 itself that is 3850, so 3332 is abundant (3850 is more than 3332). Euler's totient φ(3332) = 1344 numbers up to 3332 share no factor with it.
- 4
The digits of 3332 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3332 = 2^{2} \times 7^{2} \times 17 \]3332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7182 |
| Euler totient φ(n) | 1344 |
| Square | 11102224 |
| Cube | 36992610368 |
| Square root | 57.723479 (= 14√17) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.332 × |
3332 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-two |
| Roman numerals | MMMCCCXXXII |
| Binary (base 2) | 110100000100 |
| Octal (base 8) | 6404 |
| Hexadecimal (base 16) | D04 |
| Base 3 | 11120102 |
| As time | 3332 seconds = 55 min 32 s |
Is 3332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3332 ÷ 2 = 1666) | 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 (3332 ÷ 4 = 833) | 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 | Yes (3332 ÷ 7 = 476) | 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 2) | 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 10) | 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 3332 a prime number?
No. 3332 = × × 17, so it is divisible by 2.
What are the factors of 3332?
1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332.
What is 3332 in binary?
110100000100 (hexadecimal D04, octal 6404).
What is the square root of 3332?
About 57.7235, exactly 14√17.
What is 3332 in Roman numerals?
MMMCCCXXXII.
Is 3332 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3332?
3332 is a happy number: repeatedly adding the squares of its digits reaches 1.