The number 10990
10990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 157. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 157, 314, 785, 1099, 1570, 2198, 5495, 10990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10990 is composite. Its prime factorisation is
- 3
The divisors add up to 22752; without 10990 itself that is 11762, so 10990 is abundant (11762 is more than 10990). Euler's totient φ(10990) = 3744 numbers up to 10990 share no factor with it.
- 4
The digits of 10990 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10990 = 2 \times 5 \times 7 \times 157 \]
10990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22752 |
| Euler totient φ(n) | 3744 |
| Square | 120780100 |
| Cube | 1327373299000 |
| Square root | 104.833201 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.099 × |
10990 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and ninety |
| Binary (base 2) | 10101011101110 |
| Octal (base 8) | 25356 |
| Hexadecimal (base 16) | 2AEE |
| Base 3 | 120002001 |
| As time | 10990 seconds = 3 h 3 min 10 s |
Is 10990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10990 ÷ 2 = 5495) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10990 ÷ 5 = 2198) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10990 ÷ 7 = 1570) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10990 ÷ 10 = 1099) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10990 a prime number?
No. 10990 = 2 × 5 × 7 × 157, so it is divisible by 2.
What are the factors of 10990?
1, 2, 5, 7, 10, 14, 35, 70, 157, 314, 785, 1099, 1570, 2198, 5495, 10990.
What is 10990 in binary?
10101011101110 (hexadecimal 2AEE, octal 25356).
What is the square root of 10990?
About 104.8332.
Is 10990 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 10990?
It is a composite number with 16 divisors.