The number 10387
10387 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 47. Divisors (8): 1, 13, 17, 47, 221, 611, 799, 10387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10387 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10387 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 10387 itself that is 1709, so 10387 is deficient (1709 is less than 10387). Euler's totient φ(10387) = 8832 numbers up to 10387 share no factor with it.
- 4
The digits of 10387 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10387 = 13 \times 17 \times 47 \]
10387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 8832 |
| Square | 107889769 |
| Cube | 1120651030603 |
| Square root | 101.916633 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0387 × |
10387 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and eighty-seven |
| Binary (base 2) | 10100010010011 |
| Octal (base 8) | 24223 |
| Hexadecimal (base 16) | 2893 |
| Base 3 | 112020201 |
| As time | 10387 seconds = 2 h 53 min 7 s |
Is 10387 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10387 a prime number?
No. 10387 = 13 × 17 × 47, so it is divisible by 13.
What are the factors of 10387?
1, 13, 17, 47, 221, 611, 799, 10387.
What is 10387 in binary?
10100010010011 (hexadecimal 2893, octal 24223).
What is the square root of 10387?
About 101.9166.
Is 10387 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 10387?
It is a composite number with 8 divisors.