The number 2387
2387 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 31. Divisors (8): 1, 7, 11, 31, 77, 217, 341, 2387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2387 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2387 is composite. Its prime factorisation is
- 3
The divisors add up to 3072; without 2387 itself that is 685, so 2387 is deficient (685 is less than 2387). Euler's totient φ(2387) = 1800 numbers up to 2387 share no factor with it.
- 4
The digits of 2387 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2387 = 7 \times 11 \times 31 \]
2387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3072 |
| Euler totient φ(n) | 1800 |
| Square | 5697769 |
| Cube | 13600574603 |
| Square root | 48.856934 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 102 |
| Scientific notation | 2.387 × |
2387 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and eighty-seven |
| Roman numerals | MMCCCLXXXVII |
| Binary (base 2) | 100101010011 |
| Octal (base 8) | 4523 |
| Hexadecimal (base 16) | 953 |
| Base 3 | 10021102 |
| As time | 2387 seconds = 39 min 47 s |
Is 2387 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 (2387 ÷ 7 = 341) | 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 2) | 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 | Yes (2387 ÷ 11 = 217) | 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 2387 a prime number?
No. 2387 = 7 × 11 × 31, so it is divisible by 7.
What are the factors of 2387?
1, 7, 11, 31, 77, 217, 341, 2387.
What is 2387 in binary?
100101010011 (hexadecimal 953, octal 4523).
What is the square root of 2387?
About 48.8569.
What is 2387 in Roman numerals?
MMCCCLXXXVII.
Is 2387 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2387?
It is a composite number with 8 divisors.