The number 3055
3055 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 47. Divisors (8): 1, 5, 13, 47, 65, 235, 611, 3055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3055: a Harshad number: divisible by its digit sum 13.
- 2
3055 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 3055 itself that is 977, so 3055 is deficient (977 is less than 3055). Euler's totient φ(3055) = 2208 numbers up to 3055 share no factor with it.
- 4
The digits of 3055 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3055 = 5 \times 13 \times 47 \]
3055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 2208 |
| Square | 9333025 |
| Cube | 28512391375 |
| Square root | 55.272054 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.055 × |
3055 in other forms
| Form | Value |
|---|---|
| In words | three thousand and fifty-five |
| Roman numerals | MMMLV |
| Binary (base 2) | 101111101111 |
| Octal (base 8) | 5757 |
| Hexadecimal (base 16) | BEF |
| Base 3 | 11012011 |
| As time | 3055 seconds = 50 min 55 s |
Is 3055 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 (3055 ÷ 5 = 611) | 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 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 4) | 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 8) | 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 3055 a prime number?
No. 3055 = 5 × 13 × 47, so it is divisible by 5.
What are the factors of 3055?
1, 5, 13, 47, 65, 235, 611, 3055.
What is 3055 in binary?
101111101111 (hexadecimal BEF, octal 5757).
What is the square root of 3055?
About 55.2721.
What is 3055 in Roman numerals?
MMMLV.
Is 3055 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3055?
3055 is a Harshad number: divisible by its digit sum 13.