The number 2368
2368 is a composite number with 14 divisors. Its prime factorisation is × 37. Divisors (14): 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2368 is composite. Its prime factorisation is
- 3
The divisors add up to 4826; without 2368 itself that is 2458, so 2368 is abundant (2458 is more than 2368). Euler's totient φ(2368) = 1152 numbers up to 2368 share no factor with it.
- 4
The digits of 2368 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2368 = 2^{6} \times 37 \]2368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 4826 |
| Euler totient φ(n) | 1152 |
| Square | 5607424 |
| Cube | 13278380032 |
| Square root | 48.662100 (= 8√37) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.368 × |
2368 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and sixty-eight |
| Roman numerals | MMCCCLXVIII |
| Binary (base 2) | 100101000000 |
| Octal (base 8) | 4500 |
| Hexadecimal (base 16) | 940 |
| Base 3 | 10020201 |
| As time | 2368 seconds = 39 min 28 s |
Is 2368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2368 ÷ 2 = 1184) | 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 | Yes (2368 ÷ 4 = 592) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (2368 ÷ 8 = 296) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2368 a prime number?
No. 2368 = × 37, so it is divisible by 2.
What are the factors of 2368?
1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368.
What is 2368 in binary?
100101000000 (hexadecimal 940, octal 4500).
What is the square root of 2368?
About 48.6621, exactly 8√37.
What is 2368 in Roman numerals?
MMCCCLXVIII.
Is 2368 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2368?
It is a composite number with 14 divisors.