The number 21522
21522 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 211. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761, 21522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21522 is composite. Its prime factorisation is
- 3
The divisors add up to 45792; without 21522 itself that is 24270, so 21522 is abundant (24270 is more than 21522). Euler's totient φ(21522) = 6720 numbers up to 21522 share no factor with it.
- 4
The digits of 21522 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21522 = 2 \times 3 \times 17 \times 211 \]
21522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 45792 |
| Euler totient φ(n) | 6720 |
| Square | 463196484 |
| Cube | 9968914728648 |
| Square root | 146.703783 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1522 × |
21522 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand five hundred and twenty-two |
| Binary (base 2) | 101010000010010 |
| Octal (base 8) | 52022 |
| Hexadecimal (base 16) | 5412 |
| Base 3 | 1002112010 |
| As time | 21522 seconds = 5 h 58 min 42 s |
Is 21522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21522 ÷ 2 = 10761) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21522 ÷ 3 = 7174) | 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 | Yes (21522 ÷ 6 = 3587) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21522 a prime number?
No. 21522 = 2 × 3 × 17 × 211, so it is divisible by 2.
What are the factors of 21522?
1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761, 21522.
What is 21522 in binary?
101010000010010 (hexadecimal 5412, octal 52022).
What is the square root of 21522?
About 146.7038.
Is 21522 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 21522?
It is a composite number with 16 divisors.