The number 10955
10955 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 313. Divisors (8): 1, 5, 7, 35, 313, 1565, 2191, 10955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10955 is composite. Its prime factorisation is
- 3
The divisors add up to 15072; without 10955 itself that is 4117, so 10955 is deficient (4117 is less than 10955). Euler's totient φ(10955) = 7488 numbers up to 10955 share no factor with it.
- 4
The digits of 10955 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10955 = 5 \times 7 \times 313 \]
10955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15072 |
| Euler totient φ(n) | 7488 |
| Square | 120012025 |
| Cube | 1314731733875 |
| Square root | 104.666136 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0955 × |
10955 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and fifty-five |
| Binary (base 2) | 10101011001011 |
| Octal (base 8) | 25313 |
| Hexadecimal (base 16) | 2ACB |
| Base 3 | 120000202 |
| As time | 10955 seconds = 3 h 2 min 35 s |
Is 10955 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 (10955 ÷ 5 = 2191) | 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 | Yes (10955 ÷ 7 = 1565) | 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 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 10955 a prime number?
No. 10955 = 5 × 7 × 313, so it is divisible by 5.
What are the factors of 10955?
1, 5, 7, 35, 313, 1565, 2191, 10955.
What is 10955 in binary?
10101011001011 (hexadecimal 2ACB, octal 25313).
What is the square root of 10955?
About 104.6661.
Is 10955 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 10955?
It is a composite number with 8 divisors.