The number 3382
3382 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 89. Divisors (8): 1, 2, 19, 38, 89, 178, 1691, 3382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3382: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3382 is composite. Its prime factorisation is
- 3
The divisors add up to 5400; without 3382 itself that is 2018, so 3382 is deficient (2018 is less than 3382). Euler's totient φ(3382) = 1584 numbers up to 3382 share no factor with it.
- 4
The digits of 3382 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3382 = 2 \times 19 \times 89 \]
3382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5400 |
| Euler totient φ(n) | 1584 |
| Square | 11437924 |
| Cube | 38683058968 |
| Square root | 58.154965 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.382 × |
3382 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighty-two |
| Roman numerals | MMMCCCLXXXII |
| Binary (base 2) | 110100110110 |
| Octal (base 8) | 6466 |
| Hexadecimal (base 16) | D36 |
| Base 3 | 11122021 |
| As time | 3382 seconds = 56 min 22 s |
Is 3382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3382 ÷ 2 = 1691) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3382 a prime number?
No. 3382 = 2 × 19 × 89, so it is divisible by 2.
What are the factors of 3382?
1, 2, 19, 38, 89, 178, 1691, 3382.
What is 3382 in binary?
110100110110 (hexadecimal D36, octal 6466).
What is the square root of 3382?
About 58.1550.
What is 3382 in Roman numerals?
MMMCCCLXXXII.
Is 3382 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3382?
3382 is a happy number: repeatedly adding the squares of its digits reaches 1.