The number 3392
3392 is a composite number with 14 divisors. Its prime factorisation is × 53. Divisors (14): 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3392: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3392 is composite. Its prime factorisation is
- 3
The divisors add up to 6858; without 3392 itself that is 3466, so 3392 is abundant (3466 is more than 3392). Euler's totient φ(3392) = 1664 numbers up to 3392 share no factor with it.
- 4
The digits of 3392 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3392 = 2^{6} \times 53 \]3392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 6858 |
| Euler totient φ(n) | 1664 |
| Square | 11505664 |
| Cube | 39027212288 |
| Square root | 58.240879 (= 8√53) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 17 |
| Scientific notation | 3.392 × |
3392 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-two |
| Roman numerals | MMMCCCXCII |
| Binary (base 2) | 110101000000 |
| Octal (base 8) | 6500 |
| Hexadecimal (base 16) | D40 |
| Base 3 | 11122122 |
| As time | 3392 seconds = 56 min 32 s |
Is 3392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3392 ÷ 2 = 1696) | 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 (3392 ÷ 4 = 848) | 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 4) | 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 (3392 ÷ 8 = 424) | 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 4) | 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 3392 a prime number?
No. 3392 = × 53, so it is divisible by 2.
What are the factors of 3392?
1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392.
What is 3392 in binary?
110101000000 (hexadecimal D40, octal 6500).
What is the square root of 3392?
About 58.2409, exactly 8√53.
What is 3392 in Roman numerals?
MMMCCCXCII.
Is 3392 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3392?
3392 is a happy number: repeatedly adding the squares of its digits reaches 1.