The number 13522
13522 is a composite number with 4 divisors. Its prime factorisation is 2 × 6761. Divisors (4): 1, 2, 6761, 13522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13522: a semiprime: 2 × 6761, the product of two primes.
- 2
13522 is composite. Its prime factorisation is
- 3
The divisors add up to 20286; without 13522 itself that is 6764, so 13522 is deficient (6764 is less than 13522). Euler's totient φ(13522) = 6760 numbers up to 13522 share no factor with it.
- 4
The digits of 13522 add up to 13, 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
\[ 13522 = 2 \times 6761 \]
13522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20286 |
| Euler totient φ(n) | 6760 |
| Square | 182844484 |
| Cube | 2472423112648 |
| Square root | 116.284135 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3522 × |
13522 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twenty-two |
| Binary (base 2) | 11010011010010 |
| Octal (base 8) | 32322 |
| Hexadecimal (base 16) | 34D2 |
| Base 3 | 200112211 |
| As time | 13522 seconds = 3 h 45 min 22 s |
Is 13522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13522 ÷ 2 = 6761) | 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 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 2) | 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 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13522 a prime number?
No. 13522 = 2 × 6761, so it is divisible by 2.
What are the factors of 13522?
1, 2, 6761, 13522.
What is 13522 in binary?
11010011010010 (hexadecimal 34D2, octal 32322).
What is the square root of 13522?
About 116.2841.
Is 13522 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13522?
13522 is a semiprime: 2 × 6761, the product of two primes.