The number 32697
32697 is a composite number with 16 divisors. Its prime factorisation is × 7 × 173. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 173, 189, 519, 1211, 1557, 3633, 4671, 10899, 32697.
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How to work it out
- 1
What is special about 32697: a Harshad number: divisible by its digit sum 27.
- 2
32697 is composite. Its prime factorisation is
- 3
The divisors add up to 55680; without 32697 itself that is 22983, so 32697 is deficient (22983 is less than 32697). Euler's totient φ(32697) = 18576 numbers up to 32697 share no factor with it.
- 4
The digits of 32697 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32697 = 3^{3} \times 7 \times 173 \]32697 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55680 |
| Euler totient φ(n) | 18576 |
| Square | 1069093809 |
| Cube | 34956160272873 |
| Square root | 180.823118 (= 3√3633) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2697 × |
32697 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and ninety-seven |
| Binary (base 2) | 111111110111001 |
| Octal (base 8) | 77671 |
| Hexadecimal (base 16) | 7FB9 |
| Base 3 | 1122212000 |
| As time | 32697 seconds = 9 h 4 min 57 s |
Is 32697 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 (32697 ÷ 3 = 10899) | 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 2) | 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 (32697 ÷ 7 = 4671) | 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 | Yes (32697 ÷ 9 = 3633) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 32697 a prime number?
No. 32697 = × 7 × 173, so it is divisible by 3.
What are the factors of 32697?
1, 3, 7, 9, 21, 27, 63, 173, 189, 519, 1211, 1557, 3633, 4671, 10899, 32697.
What is 32697 in binary?
111111110111001 (hexadecimal 7FB9, octal 77671).
What is the square root of 32697?
About 180.8231, exactly 3√3633.
Is 32697 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 32697?
32697 is a Harshad number: divisible by its digit sum 27.