The number 32901
32901 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 997. Divisors (8): 1, 3, 11, 33, 997, 2991, 10967, 32901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32901 is composite. Its prime factorisation is
- 3
The divisors add up to 47904; without 32901 itself that is 15003, so 32901 is deficient (15003 is less than 32901). Euler's totient φ(32901) = 19920 numbers up to 32901 share no factor with it.
- 4
The digits of 32901 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32901 = 3 \times 11 \times 997 \]
32901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47904 |
| Euler totient φ(n) | 19920 |
| Square | 1082475801 |
| Cube | 35614536328701 |
| Square root | 181.386328 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2901 × |
32901 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and one |
| Binary (base 2) | 1000000010000101 |
| Octal (base 8) | 100205 |
| Hexadecimal (base 16) | 8085 |
| Base 3 | 1200010120 |
| As time | 32901 seconds = 9 h 8 min 21 s |
Is 32901 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 | Yes (32901 ÷ 3 = 10967) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (32901 ÷ 11 = 2991) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32901 a prime number?
No. 32901 = 3 × 11 × 997, so it is divisible by 3.
What are the factors of 32901?
1, 3, 11, 33, 997, 2991, 10967, 32901.
What is 32901 in binary?
1000000010000101 (hexadecimal 8085, octal 100205).
What is the square root of 32901?
About 181.3863.
Is 32901 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32901?
It is a composite number with 8 divisors.