The number 1055
1055 is a composite number with 4 divisors. Its prime factorisation is 5 × 211. Divisors (4): 1, 5, 211, 1055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1055: a semiprime: 5 × 211, the product of two primes.
- 2
1055 is composite. Its prime factorisation is
- 3
The divisors add up to 1272; without 1055 itself that is 217, so 1055 is deficient (217 is less than 1055). Euler's totient φ(1055) = 840 numbers up to 1055 share no factor with it.
- 4
The digits of 1055 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1055 = 5 \times 211 \]
1055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1272 |
| Euler totient φ(n) | 840 |
| Square | 1113025 |
| Cube | 1174241375 |
| Square root | 32.480764 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 1.055 × |
1055 in other forms
| Form | Value |
|---|---|
| In words | one thousand and fifty-five |
| Roman numerals | MLV |
| Binary (base 2) | 10000011111 |
| Octal (base 8) | 2037 |
| Hexadecimal (base 16) | 41F |
| Base 3 | 1110002 |
| As time | 1055 seconds = 17 min 35 s |
Is 1055 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 (1055 ÷ 5 = 211) | 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 5) | 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 2) | 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 10) | 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 1055 a prime number?
No. 1055 = 5 × 211, so it is divisible by 5.
What are the factors of 1055?
1, 5, 211, 1055.
What is 1055 in binary?
10000011111 (hexadecimal 41F, octal 2037).
What is the square root of 1055?
About 32.4808.
What is 1055 in Roman numerals?
MLV.
Is 1055 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1055?
1055 is a semiprime: 5 × 211, the product of two primes.