The number 16522
16522 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 751. Divisors (8): 1, 2, 11, 22, 751, 1502, 8261, 16522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16522: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16522 is composite. Its prime factorisation is
- 3
The divisors add up to 27072; without 16522 itself that is 10550, so 16522 is deficient (10550 is less than 16522). Euler's totient φ(16522) = 7500 numbers up to 16522 share no factor with it.
- 4
The digits of 16522 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16522 = 2 \times 11 \times 751 \]
16522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27072 |
| Euler totient φ(n) | 7500 |
| Square | 272976484 |
| Cube | 4510117468648 |
| Square root | 128.537932 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6522 × |
16522 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and twenty-two |
| Binary (base 2) | 100000010001010 |
| Octal (base 8) | 40212 |
| Hexadecimal (base 16) | 408A |
| Base 3 | 211122221 |
| As time | 16522 seconds = 4 h 35 min 22 s |
Is 16522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16522 ÷ 2 = 8261) | 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 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 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 | Yes (16522 ÷ 11 = 1502) | 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 16522 a prime number?
No. 16522 = 2 × 11 × 751, so it is divisible by 2.
What are the factors of 16522?
1, 2, 11, 22, 751, 1502, 8261, 16522.
What is 16522 in binary?
100000010001010 (hexadecimal 408A, octal 40212).
What is the square root of 16522?
About 128.5379.
Is 16522 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16522?
16522 is a happy number: repeatedly adding the squares of its digits reaches 1.