The number 2388
2388 is a composite number with 12 divisors. Its prime factorisation is × 3 × 199. Divisors (12): 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2388 is composite. Its prime factorisation is
- 3
The divisors add up to 5600; without 2388 itself that is 3212, so 2388 is abundant (3212 is more than 2388). Euler's totient φ(2388) = 792 numbers up to 2388 share no factor with it.
- 4
The digits of 2388 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2388 = 2^{2} \times 3 \times 199 \]2388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5600 |
| Euler totient φ(n) | 792 |
| Square | 5702544 |
| Cube | 13617675072 |
| Square root | 48.867167 (= 2√597) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.388 × |
2388 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and eighty-eight |
| Roman numerals | MMCCCLXXXVIII |
| Binary (base 2) | 100101010100 |
| Octal (base 8) | 4524 |
| Hexadecimal (base 16) | 954 |
| Base 3 | 10021110 |
| As time | 2388 seconds = 39 min 48 s |
Is 2388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2388 ÷ 2 = 1194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2388 ÷ 3 = 796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2388 ÷ 4 = 597) | 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 (2388 ÷ 6 = 398) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2388 ÷ 12 = 199) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2388 a prime number?
No. 2388 = × 3 × 199, so it is divisible by 2.
What are the factors of 2388?
1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388.
What is 2388 in binary?
100101010100 (hexadecimal 954, octal 4524).
What is the square root of 2388?
About 48.8672, exactly 2√597.
What is 2388 in Roman numerals?
MMCCCLXXXVIII.
Is 2388 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2388?
It is a composite number with 12 divisors.