The number 32109
32109 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 139. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 139, 231, 417, 973, 1529, 2919, 4587, 10703, 32109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32109 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 32109 itself that is 21651, so 32109 is deficient (21651 is less than 32109). Euler's totient φ(32109) = 16560 numbers up to 32109 share no factor with it.
- 4
The digits of 32109 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 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32109 = 3 \times 7 \times 11 \times 139 \]
32109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 16560 |
| Square | 1030987881 |
| Cube | 33103989871029 |
| Square root | 179.189843 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.2109 × |
32109 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and nine |
| Binary (base 2) | 111110101101101 |
| Octal (base 8) | 76555 |
| Hexadecimal (base 16) | 7D6D |
| Base 3 | 1122001020 |
| As time | 32109 seconds = 8 h 55 min 9 s |
Is 32109 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 (32109 ÷ 3 = 10703) | 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 4) | 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 | Yes (32109 ÷ 7 = 4587) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32109 ÷ 11 = 2919) | 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 32109 a prime number?
No. 32109 = 3 × 7 × 11 × 139, so it is divisible by 3.
What are the factors of 32109?
1, 3, 7, 11, 21, 33, 77, 139, 231, 417, 973, 1529, 2919, 4587, 10703, 32109.
What is 32109 in binary?
111110101101101 (hexadecimal 7D6D, octal 76555).
What is the square root of 32109?
About 179.1898.
Is 32109 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32109?
It is a composite number with 16 divisors.