The number 2493
2493 is a composite number with 6 divisors. Its prime factorisation is × 277. Divisors (6): 1, 3, 9, 277, 831, 2493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2493 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2493 is composite. Its prime factorisation is
- 3
The divisors add up to 3614; without 2493 itself that is 1121, so 2493 is deficient (1121 is less than 2493). Euler's totient φ(2493) = 1656 numbers up to 2493 share no factor with it.
- 4
The digits of 2493 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2493 = 3^{2} \times 277 \]2493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3614 |
| Euler totient φ(n) | 1656 |
| Square | 6215049 |
| Cube | 15494117157 |
| Square root | 49.929951 (= 3√277) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.493 × |
2493 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and ninety-three |
| Roman numerals | MMCDXCIII |
| Binary (base 2) | 100110111101 |
| Octal (base 8) | 4675 |
| Hexadecimal (base 16) | 9BD |
| Base 3 | 10102100 |
| As time | 2493 seconds = 41 min 33 s |
Is 2493 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 (2493 ÷ 3 = 831) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2493 ÷ 9 = 277) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2493 a prime number?
No. 2493 = × 277, so it is divisible by 3.
What are the factors of 2493?
1, 3, 9, 277, 831, 2493.
What is 2493 in binary?
100110111101 (hexadecimal 9BD, octal 4675).
What is the square root of 2493?
About 49.9300, exactly 3√277.
What is 2493 in Roman numerals?
MMCDXCIII.
Is 2493 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2493?
It is a composite number with 6 divisors.