The number 2367
2367 is a composite number with 6 divisors. Its prime factorisation is × 263. Divisors (6): 1, 3, 9, 263, 789, 2367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2367 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2367 is composite. Its prime factorisation is
- 3
The divisors add up to 3432; without 2367 itself that is 1065, so 2367 is deficient (1065 is less than 2367). Euler's totient φ(2367) = 1572 numbers up to 2367 share no factor with it.
- 4
The digits of 2367 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2367 = 3^{2} \times 263 \]2367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3432 |
| Euler totient φ(n) | 1572 |
| Square | 5602689 |
| Cube | 13261564863 |
| Square root | 48.651824 (= 3√263) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 2.367 × |
2367 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and sixty-seven |
| Roman numerals | MMCCCLXVII |
| Binary (base 2) | 100100111111 |
| Octal (base 8) | 4477 |
| Hexadecimal (base 16) | 93F |
| Base 3 | 10020200 |
| As time | 2367 seconds = 39 min 27 s |
Is 2367 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 | Yes (2367 ÷ 3 = 789) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2367 ÷ 9 = 263) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2367 a prime number?
No. 2367 = × 263, so it is divisible by 3.
What are the factors of 2367?
1, 3, 9, 263, 789, 2367.
What is 2367 in binary?
100100111111 (hexadecimal 93F, octal 4477).
What is the square root of 2367?
About 48.6518, exactly 3√263.
What is 2367 in Roman numerals?
MMCCCLXVII.
Is 2367 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2367?
It is a composite number with 6 divisors.