The number 10055
10055 is a composite number with 4 divisors. Its prime factorisation is 5 × 2011. Divisors (4): 1, 5, 2011, 10055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10055: a semiprime: 5 × 2011, the product of two primes.
- 2
10055 is composite. Its prime factorisation is
- 3
The divisors add up to 12072; without 10055 itself that is 2017, so 10055 is deficient (2017 is less than 10055). Euler's totient φ(10055) = 8040 numbers up to 10055 share no factor with it.
- 4
The digits of 10055 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10055 = 5 \times 2011 \]
10055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12072 |
| Euler totient φ(n) | 8040 |
| Square | 101103025 |
| Cube | 1016590916375 |
| Square root | 100.274623 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0055 × |
10055 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and fifty-five |
| Binary (base 2) | 10011101000111 |
| Octal (base 8) | 23507 |
| Hexadecimal (base 16) | 2747 |
| Base 3 | 111210102 |
| As time | 10055 seconds = 2 h 47 min 35 s |
Is 10055 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 (10055 ÷ 5 = 2011) | 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 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 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 1) | 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 10055 a prime number?
No. 10055 = 5 × 2011, so it is divisible by 5.
What are the factors of 10055?
1, 5, 2011, 10055.
What is 10055 in binary?
10011101000111 (hexadecimal 2747, octal 23507).
What is the square root of 10055?
About 100.2746.
Is 10055 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10055?
10055 is a semiprime: 5 × 2011, the product of two primes.