The number 4055
4055 is a composite number with 4 divisors. Its prime factorisation is 5 × 811. Divisors (4): 1, 5, 811, 4055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4055: a semiprime: 5 × 811, the product of two primes.
- 2
4055 is composite. Its prime factorisation is
- 3
The divisors add up to 4872; without 4055 itself that is 817, so 4055 is deficient (817 is less than 4055). Euler's totient φ(4055) = 3240 numbers up to 4055 share no factor with it.
- 4
The digits of 4055 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4055 = 5 \times 811 \]
4055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4872 |
| Euler totient φ(n) | 3240 |
| Square | 16443025 |
| Cube | 66676466375 |
| Square root | 63.678882 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.055 × |
4055 in other forms
| Form | Value |
|---|---|
| In words | four thousand and fifty-five |
| Binary (base 2) | 111111010111 |
| Octal (base 8) | 7727 |
| Hexadecimal (base 16) | FD7 |
| Base 3 | 12120012 |
| As time | 4055 seconds = 1 h 7 min 35 s |
Is 4055 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 (4055 ÷ 5 = 811) | 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 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 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 7) | 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 4055 a prime number?
No. 4055 = 5 × 811, so it is divisible by 5.
What are the factors of 4055?
1, 5, 811, 4055.
What is 4055 in binary?
111111010111 (hexadecimal FD7, octal 7727).
What is the square root of 4055?
About 63.6789.
Is 4055 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4055?
4055 is a semiprime: 5 × 811, the product of two primes.