The number 2522
2522 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 97. Divisors (8): 1, 2, 13, 26, 97, 194, 1261, 2522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2522 is composite. Its prime factorisation is
- 3
The divisors add up to 4116; without 2522 itself that is 1594, so 2522 is deficient (1594 is less than 2522). Euler's totient φ(2522) = 1152 numbers up to 2522 share no factor with it.
- 4
The digits of 2522 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2522 = 2 \times 13 \times 97 \]
2522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4116 |
| Euler totient φ(n) | 1152 |
| Square | 6360484 |
| Cube | 16041140648 |
| Square root | 50.219518 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.522 × |
2522 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and twenty-two |
| Roman numerals | MMDXXII |
| Binary (base 2) | 100111011010 |
| Octal (base 8) | 4732 |
| Hexadecimal (base 16) | 9DA |
| Base 3 | 10110102 |
| As time | 2522 seconds = 42 min 2 s |
Is 2522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2522 ÷ 2 = 1261) | 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 | No (remainder 2) | 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 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2522 a prime number?
No. 2522 = 2 × 13 × 97, so it is divisible by 2.
What are the factors of 2522?
1, 2, 13, 26, 97, 194, 1261, 2522.
What is 2522 in binary?
100111011010 (hexadecimal 9DA, octal 4732).
What is the square root of 2522?
About 50.2195.
What is 2522 in Roman numerals?
MMDXXII.
Is 2522 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2522?
It is a composite number with 8 divisors.