The number 2492
2492 is a composite number with 12 divisors. Its prime factorisation is × 7 × 89. Divisors (12): 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2492 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 2492 itself that is 2548, so 2492 is abundant (2548 is more than 2492). Euler's totient φ(2492) = 1056 numbers up to 2492 share no factor with it.
- 4
The digits of 2492 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2492 = 2^{2} \times 7 \times 89 \]2492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 1056 |
| Square | 6210064 |
| Cube | 15475479488 |
| Square root | 49.919936 (= 2√623) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.492 × |
2492 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and ninety-two |
| Roman numerals | MMCDXCII |
| Binary (base 2) | 100110111100 |
| Octal (base 8) | 4674 |
| Hexadecimal (base 16) | 9BC |
| Base 3 | 10102022 |
| As time | 2492 seconds = 41 min 32 s |
Is 2492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2492 ÷ 2 = 1246) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2492 ÷ 4 = 623) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2492 ÷ 7 = 356) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2492 a prime number?
No. 2492 = × 7 × 89, so it is divisible by 2.
What are the factors of 2492?
1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492.
What is 2492 in binary?
100110111100 (hexadecimal 9BC, octal 4674).
What is the square root of 2492?
About 49.9199, exactly 2√623.
What is 2492 in Roman numerals?
MMCDXCII.
Is 2492 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2492?
It is a composite number with 12 divisors.