The number 32272
32272 is a composite number with 10 divisors. Its prime factorisation is × 2017. Divisors (10): 1, 2, 4, 8, 16, 2017, 4034, 8068, 16136, 32272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32272: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
32272 is composite. Its prime factorisation is
- 3
The divisors add up to 62558; without 32272 itself that is 30286, so 32272 is deficient (30286 is less than 32272). Euler's totient φ(32272) = 16128 numbers up to 32272 share no factor with it.
- 4
The digits of 32272 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32272 = 2^{4} \times 2017 \]32272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 62558 |
| Euler totient φ(n) | 16128 |
| Square | 1041481984 |
| Cube | 33610706587648 |
| Square root | 179.644093 (= 4√2017) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2272 × |
32272 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and seventy-two |
| Binary (base 2) | 111111000010000 |
| Octal (base 8) | 77020 |
| Hexadecimal (base 16) | 7E10 |
| Base 3 | 1122021021 |
| As time | 32272 seconds = 8 h 57 min 52 s |
Is 32272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32272 ÷ 2 = 16136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32272 ÷ 4 = 8068) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (32272 ÷ 8 = 4034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32272 a prime number?
No. 32272 = × 2017, so it is divisible by 2.
What are the factors of 32272?
1, 2, 4, 8, 16, 2017, 4034, 8068, 16136, 32272.
What is 32272 in binary?
111111000010000 (hexadecimal 7E10, octal 77020).
What is the square root of 32272?
About 179.6441, exactly 4√2017.
Is 32272 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32272?
32272 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.