The number 7522
7522 is a composite number with 4 divisors. Its prime factorisation is 2 × 3761. Divisors (4): 1, 2, 3761, 7522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7522: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 3761, the product of two primes.
- 2
7522 is composite. Its prime factorisation is
- 3
The divisors add up to 11286; without 7522 itself that is 3764, so 7522 is deficient (3764 is less than 7522). Euler's totient φ(7522) = 3760 numbers up to 7522 share no factor with it.
- 4
The digits of 7522 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7522 = 2 \times 3761 \]
7522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11286 |
| Euler totient φ(n) | 3760 |
| Square | 56580484 |
| Cube | 425598400648 |
| Square root | 86.729464 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.522 × |
7522 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and twenty-two |
| Binary (base 2) | 1110101100010 |
| Octal (base 8) | 16542 |
| Hexadecimal (base 16) | 1D62 |
| Base 3 | 101022121 |
| As time | 7522 seconds = 2 h 5 min 22 s |
Is 7522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7522 ÷ 2 = 3761) | 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 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7522 a prime number?
No. 7522 = 2 × 3761, so it is divisible by 2.
What are the factors of 7522?
1, 2, 3761, 7522.
What is 7522 in binary?
1110101100010 (hexadecimal 1D62, octal 16542).
What is the square root of 7522?
About 86.7295.
Is 7522 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7522?
7522 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 3761, the product of two primes.