The number 10788
10788 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 31. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 31, 58, 62, 87, 93, 116, 124, 174, 186 … 10788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10788 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 10788 itself that is 16092, so 10788 is abundant (16092 is more than 10788). Euler's totient φ(10788) = 3360 numbers up to 10788 share no factor with it.
- 4
The digits of 10788 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10788 = 2^{2} \times 3 \times 29 \times 31 \]10788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 3360 |
| Square | 116380944 |
| Cube | 1255517623872 |
| Square root | 103.865297 (= 2√2697) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0788 × |
10788 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and eighty-eight |
| Binary (base 2) | 10101000100100 |
| Octal (base 8) | 25044 |
| Hexadecimal (base 16) | 2A24 |
| Base 3 | 112210120 |
| As time | 10788 seconds = 2 h 59 min 48 s |
Is 10788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10788 ÷ 2 = 5394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10788 ÷ 3 = 3596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10788 ÷ 4 = 2697) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10788 ÷ 6 = 1798) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (10788 ÷ 12 = 899) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10788 a prime number?
No. 10788 = × 3 × 29 × 31, so it is divisible by 2.
What are the factors of 10788?
1, 2, 3, 4, 6, 12, 29, 31, 58, 62, 87, 93, 116, 124, 174, 186, 348, 372, 899, 1798, 2697, 3596, 5394, 10788.
What is 10788 in binary?
10101000100100 (hexadecimal 2A24, octal 25044).
What is the square root of 10788?
About 103.8653, exactly 2√2697.
Is 10788 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 10788?
It is a composite number with 24 divisors.