The number 3135
3135 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 19. Divisors (16): 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3135: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3135 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 3135 itself that is 2625, so 3135 is deficient (2625 is less than 3135). Euler's totient φ(3135) = 1440 numbers up to 3135 share no factor with it.
- 4
The digits of 3135 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3135 = 3 \times 5 \times 11 \times 19 \]
3135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 1440 |
| Square | 9828225 |
| Cube | 30811485375 |
| Square root | 55.991071 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.135 × |
3135 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and thirty-five |
| Roman numerals | MMMCXXXV |
| Binary (base 2) | 110000111111 |
| Octal (base 8) | 6077 |
| Hexadecimal (base 16) | C3F |
| Base 3 | 11022010 |
| As time | 3135 seconds = 52 min 15 s |
Is 3135 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 | Yes (3135 ÷ 3 = 1045) | 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 (3135 ÷ 5 = 627) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (3135 ÷ 11 = 285) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3135 a prime number?
No. 3135 = 3 × 5 × 11 × 19, so it is divisible by 3.
What are the factors of 3135?
1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135.
What is 3135 in binary?
110000111111 (hexadecimal C3F, octal 6077).
What is the square root of 3135?
About 55.9911.
What is 3135 in Roman numerals?
MMMCXXXV.
Is 3135 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3135?
3135 is a happy number: repeatedly adding the squares of its digits reaches 1.