The number 2497
2497 is a composite number with 4 divisors. Its prime factorisation is 11 × 227. Divisors (4): 1, 11, 227, 2497.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2497: a semiprime: 11 × 227, the product of two primes.
- 2
2497 is composite. Its prime factorisation is
- 3
The divisors add up to 2736; without 2497 itself that is 239, so 2497 is deficient (239 is less than 2497). Euler's totient φ(2497) = 2260 numbers up to 2497 share no factor with it.
- 4
The digits of 2497 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2497 = 11 \times 227 \]
2497 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2736 |
| Euler totient φ(n) | 2260 |
| Square | 6235009 |
| Cube | 15568817473 |
| Square root | 49.969991 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 2.497 × |
2497 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and ninety-seven |
| Roman numerals | MMCDXCVII |
| Binary (base 2) | 100111000001 |
| Octal (base 8) | 4701 |
| Hexadecimal (base 16) | 9C1 |
| Base 3 | 10102111 |
| As time | 2497 seconds = 41 min 37 s |
Is 2497 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (2497 ÷ 11 = 227) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2497 a prime number?
No. 2497 = 11 × 227, so it is divisible by 11.
What are the factors of 2497?
1, 11, 227, 2497.
What is 2497 in binary?
100111000001 (hexadecimal 9C1, octal 4701).
What is the square root of 2497?
About 49.9700.
What is 2497 in Roman numerals?
MMCDXCVII.
Is 2497 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 2497?
2497 is a semiprime: 11 × 227, the product of two primes.