The number 32729
32729 is a composite number with 4 divisors. Its prime factorisation is 23 × 1423. Divisors (4): 1, 23, 1423, 32729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32729: a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 1423, the product of two primes.
- 2
32729 is composite. Its prime factorisation is
- 3
The divisors add up to 34176; without 32729 itself that is 1447, so 32729 is deficient (1447 is less than 32729). Euler's totient φ(32729) = 31284 numbers up to 32729 share no factor with it.
- 4
The digits of 32729 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32729 = 23 \times 1423 \]
32729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34176 |
| Euler totient φ(n) | 31284 |
| Square | 1071187441 |
| Cube | 35058893756489 |
| Square root | 180.911581 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2729 × |
32729 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and twenty-nine |
| Binary (base 2) | 111111111011001 |
| Octal (base 8) | 77731 |
| Hexadecimal (base 16) | 7FD9 |
| Base 3 | 1122220012 |
| As time | 32729 seconds = 9 h 5 min 29 s |
Is 32729 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 4) | 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 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 1) | 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 9) | 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 32729 a prime number?
No. 32729 = 23 × 1423, so it is divisible by 23.
What are the factors of 32729?
1, 23, 1423, 32729.
What is 32729 in binary?
111111111011001 (hexadecimal 7FD9, octal 77731).
What is the square root of 32729?
About 180.9116.
Is 32729 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32729?
32729 is a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 1423, the product of two primes.