The number 3355
3355 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 61. Divisors (8): 1, 5, 11, 55, 61, 305, 671, 3355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3355: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3355 is composite. Its prime factorisation is
- 3
The divisors add up to 4464; without 3355 itself that is 1109, so 3355 is deficient (1109 is less than 3355). Euler's totient φ(3355) = 2400 numbers up to 3355 share no factor with it.
- 4
The digits of 3355 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3355 = 5 \times 11 \times 61 \]
3355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4464 |
| Euler totient φ(n) | 2400 |
| Square | 11256025 |
| Cube | 37763963875 |
| Square root | 57.922362 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.355 × |
3355 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-five |
| Roman numerals | MMMCCCLV |
| Binary (base 2) | 110100011011 |
| Octal (base 8) | 6433 |
| Hexadecimal (base 16) | D1B |
| Base 3 | 11121021 |
| As time | 3355 seconds = 55 min 55 s |
Is 3355 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3355 ÷ 5 = 671) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3355 ÷ 11 = 305) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3355 a prime number?
No. 3355 = 5 × 11 × 61, so it is divisible by 5.
What are the factors of 3355?
1, 5, 11, 55, 61, 305, 671, 3355.
What is 3355 in binary?
110100011011 (hexadecimal D1B, octal 6433).
What is the square root of 3355?
About 57.9224.
What is 3355 in Roman numerals?
MMMCCCLV.
Is 3355 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3355?
3355 is a happy number: repeatedly adding the squares of its digits reaches 1.