The number 32522
32522 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 101. Divisors (16): 1, 2, 7, 14, 23, 46, 101, 161, 202, 322, 707, 1414, 2323, 4646, 16261, 32522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32522: a Harshad number: divisible by its digit sum 14.
- 2
32522 is composite. Its prime factorisation is
- 3
The divisors add up to 58752; without 32522 itself that is 26230, so 32522 is deficient (26230 is less than 32522). Euler's totient φ(32522) = 13200 numbers up to 32522 share no factor with it.
- 4
The digits of 32522 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32522 = 2 \times 7 \times 23 \times 101 \]
32522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58752 |
| Euler totient φ(n) | 13200 |
| Square | 1057680484 |
| Cube | 34397884700648 |
| Square root | 180.338570 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2522 × |
32522 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand five hundred and twenty-two |
| Binary (base 2) | 111111100001010 |
| Octal (base 8) | 77412 |
| Hexadecimal (base 16) | 7F0A |
| Base 3 | 1122121112 |
| As time | 32522 seconds = 9 h 2 min 2 s |
Is 32522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32522 ÷ 2 = 16261) | 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 | Yes (32522 ÷ 7 = 4646) | 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 5) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32522 a prime number?
No. 32522 = 2 × 7 × 23 × 101, so it is divisible by 2.
What are the factors of 32522?
1, 2, 7, 14, 23, 46, 101, 161, 202, 322, 707, 1414, 2323, 4646, 16261, 32522.
What is 32522 in binary?
111111100001010 (hexadecimal 7F0A, octal 77412).
What is the square root of 32522?
About 180.3386.
Is 32522 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32522?
32522 is a Harshad number: divisible by its digit sum 14.