The number 3315
3315 is a binary palindrome (110011110011). Its prime factorisation is 3 × 5 × 13 × 17. Divisors (16): 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3315: a binary palindrome (110011110011); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3315 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 3315 itself that is 2733, so 3315 is deficient (2733 is less than 3315). Euler's totient φ(3315) = 1536 numbers up to 3315 share no factor with it.
- 4
The digits of 3315 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 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3315 = 3 \times 5 \times 13 \times 17 \]
3315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 1536 |
| Square | 10989225 |
| Cube | 36429280875 |
| Square root | 57.576037 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.315 × |
3315 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifteen |
| Roman numerals | MMMCCCXV |
| Binary (base 2) | 110011110011 |
| Octal (base 8) | 6363 |
| Hexadecimal (base 16) | CF3 |
| Base 3 | 11112210 |
| As time | 3315 seconds = 55 min 15 s |
Is 3315 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 (3315 ÷ 3 = 1105) | 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 (3315 ÷ 5 = 663) | 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 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 | No (remainder 3) | 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 | No (remainder 4) | 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 3315 a prime number?
No. 3315 = 3 × 5 × 13 × 17, so it is divisible by 3.
What are the factors of 3315?
1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315.
What is 3315 in binary?
110011110011 (hexadecimal CF3, octal 6363).
What is the square root of 3315?
About 57.5760.
What is 3315 in Roman numerals?
MMMCCCXV.
Is 3315 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3315?
3315 is a binary palindrome (110011110011); a happy number: repeatedly adding the squares of its digits reaches 1.