The number 3352
3352 is a composite number with 8 divisors. Its prime factorisation is × 419. Divisors (8): 1, 2, 4, 8, 419, 838, 1676, 3352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3352 is composite. Its prime factorisation is
- 3
The divisors add up to 6300; without 3352 itself that is 2948, so 3352 is deficient (2948 is less than 3352). Euler's totient φ(3352) = 1672 numbers up to 3352 share no factor with it.
- 4
The digits of 3352 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3352 = 2^{3} \times 419 \]3352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6300 |
| Euler totient φ(n) | 1672 |
| Square | 11235904 |
| Cube | 37662750208 |
| Square root | 57.896459 (= 2√838) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.352 × |
3352 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-two |
| Roman numerals | MMMCCCLII |
| Binary (base 2) | 110100011000 |
| Octal (base 8) | 6430 |
| Hexadecimal (base 16) | D18 |
| Base 3 | 11121011 |
| As time | 3352 seconds = 55 min 52 s |
Is 3352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3352 ÷ 2 = 1676) | 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 | Yes (3352 ÷ 4 = 838) | 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 6) | 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 | Yes (3352 ÷ 8 = 419) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3352 a prime number?
No. 3352 = × 419, so it is divisible by 2.
What are the factors of 3352?
1, 2, 4, 8, 419, 838, 1676, 3352.
What is 3352 in binary?
110100011000 (hexadecimal D18, octal 6430).
What is the square root of 3352?
About 57.8965, exactly 2√838.
What is 3352 in Roman numerals?
MMMCCCLII.
Is 3352 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3352?
It is a composite number with 8 divisors.