The number 32201
32201 is a composite number with 4 divisors. Its prime factorisation is 13 × 2477. Divisors (4): 1, 13, 2477, 32201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32201: a semiprime: 13 × 2477, the product of two primes.
- 2
32201 is composite. Its prime factorisation is
- 3
The divisors add up to 34692; without 32201 itself that is 2491, so 32201 is deficient (2491 is less than 32201). Euler's totient φ(32201) = 29712 numbers up to 32201 share no factor with it.
- 4
The digits of 32201 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32201 = 13 \times 2477 \]
32201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34692 |
| Euler totient φ(n) | 29712 |
| Square | 1036904401 |
| Cube | 33389358616601 |
| Square root | 179.446371 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2201 × |
32201 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and one |
| Binary (base 2) | 111110111001001 |
| Octal (base 8) | 76711 |
| Hexadecimal (base 16) | 7DC9 |
| Base 3 | 1122011122 |
| As time | 32201 seconds = 8 h 56 min 41 s |
Is 32201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32201 a prime number?
No. 32201 = 13 × 2477, so it is divisible by 13.
What are the factors of 32201?
1, 13, 2477, 32201.
What is 32201 in binary?
111110111001001 (hexadecimal 7DC9, octal 76711).
What is the square root of 32201?
About 179.4464.
Is 32201 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 32201?
32201 is a semiprime: 13 × 2477, the product of two primes.