The number 3335
3335 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 29. Divisors (8): 1, 5, 23, 29, 115, 145, 667, 3335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3335 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 3335 itself that is 985, so 3335 is deficient (985 is less than 3335). Euler's totient φ(3335) = 2464 numbers up to 3335 share no factor with it.
- 4
The digits of 3335 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3335 = 5 \times 23 \times 29 \]
3335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 2464 |
| Square | 11122225 |
| Cube | 37092620375 |
| Square root | 57.749459 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 180 |
| Scientific notation | 3.335 × |
3335 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-five |
| Roman numerals | MMMCCCXXXV |
| Binary (base 2) | 110100000111 |
| Octal (base 8) | 6407 |
| Hexadecimal (base 16) | D07 |
| Base 3 | 11120112 |
| As time | 3335 seconds = 55 min 35 s |
Is 3335 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 2) | 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 (3335 ÷ 5 = 667) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3335 a prime number?
No. 3335 = 5 × 23 × 29, so it is divisible by 5.
What are the factors of 3335?
1, 5, 23, 29, 115, 145, 667, 3335.
What is 3335 in binary?
110100000111 (hexadecimal D07, octal 6407).
What is the square root of 3335?
About 57.7495.
What is 3335 in Roman numerals?
MMMCCCXXXV.
Is 3335 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3335?
It is a composite number with 8 divisors.