The number 2364
2364 is a composite number with 12 divisors. Its prime factorisation is × 3 × 197. Divisors (12): 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2364 is composite. Its prime factorisation is
- 3
The divisors add up to 5544; without 2364 itself that is 3180, so 2364 is abundant (3180 is more than 2364). Euler's totient φ(2364) = 784 numbers up to 2364 share no factor with it.
- 4
The digits of 2364 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2364 = 2^{2} \times 3 \times 197 \]2364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5544 |
| Euler totient φ(n) | 784 |
| Square | 5588496 |
| Cube | 13211204544 |
| Square root | 48.620983 (= 2√591) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.364 × |
2364 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and sixty-four |
| Roman numerals | MMCCCLXIV |
| Binary (base 2) | 100100111100 |
| Octal (base 8) | 4474 |
| Hexadecimal (base 16) | 93C |
| Base 3 | 10020120 |
| As time | 2364 seconds = 39 min 24 s |
Is 2364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2364 ÷ 2 = 1182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2364 ÷ 3 = 788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2364 ÷ 4 = 591) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2364 ÷ 6 = 394) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2364 ÷ 12 = 197) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2364 a prime number?
No. 2364 = × 3 × 197, so it is divisible by 2.
What are the factors of 2364?
1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364.
What is 2364 in binary?
100100111100 (hexadecimal 93C, octal 4474).
What is the square root of 2364?
About 48.6210, exactly 2√591.
What is 2364 in Roman numerals?
MMCCCLXIV.
Is 2364 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2364?
It is a composite number with 12 divisors.