The number 10790
10790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 83. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 83, 130, 166, 415, 830, 1079, 2158, 5395, 10790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10790 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 10790 itself that is 10378, so 10790 is deficient (10378 is less than 10790). Euler's totient φ(10790) = 3936 numbers up to 10790 share no factor with it.
- 4
The digits of 10790 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10790 = 2 \times 5 \times 13 \times 83 \]
10790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 3936 |
| Square | 116424100 |
| Cube | 1256216039000 |
| Square root | 103.874925 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.079 × |
10790 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and ninety |
| Binary (base 2) | 10101000100110 |
| Octal (base 8) | 25046 |
| Hexadecimal (base 16) | 2A26 |
| Base 3 | 112210122 |
| As time | 10790 seconds = 2 h 59 min 50 s |
Is 10790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10790 ÷ 2 = 5395) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10790 ÷ 5 = 2158) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10790 ÷ 10 = 1079) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10790 a prime number?
No. 10790 = 2 × 5 × 13 × 83, so it is divisible by 2.
What are the factors of 10790?
1, 2, 5, 10, 13, 26, 65, 83, 130, 166, 415, 830, 1079, 2158, 5395, 10790.
What is 10790 in binary?
10101000100110 (hexadecimal 2A26, octal 25046).
What is the square root of 10790?
About 103.8749.
Is 10790 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10790?
It is a composite number with 16 divisors.