The number 10787
10787 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 67. Divisors (8): 1, 7, 23, 67, 161, 469, 1541, 10787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10787: a Harshad number: divisible by its digit sum 23.
- 2
10787 is composite. Its prime factorisation is
- 3
The divisors add up to 13056; without 10787 itself that is 2269, so 10787 is deficient (2269 is less than 10787). Euler's totient φ(10787) = 8712 numbers up to 10787 share no factor with it.
- 4
The digits of 10787 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10787 = 7 \times 23 \times 67 \]
10787 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13056 |
| Euler totient φ(n) | 8712 |
| Square | 116359369 |
| Cube | 1255168513403 |
| Square root | 103.860483 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0787 × |
10787 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and eighty-seven |
| Binary (base 2) | 10101000100011 |
| Octal (base 8) | 25043 |
| Hexadecimal (base 16) | 2A23 |
| Base 3 | 112210112 |
| As time | 10787 seconds = 2 h 59 min 47 s |
Is 10787 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 | No (remainder 2) | 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 (10787 ÷ 7 = 1541) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 10787 a prime number?
No. 10787 = 7 × 23 × 67, so it is divisible by 7.
What are the factors of 10787?
1, 7, 23, 67, 161, 469, 1541, 10787.
What is 10787 in binary?
10101000100011 (hexadecimal 2A23, octal 25043).
What is the square root of 10787?
About 103.8605.
Is 10787 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 10787?
10787 is a Harshad number: divisible by its digit sum 23.