The number 32072
32072 is a composite number with 16 divisors. Its prime factorisation is × 19 × 211. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 211, 422, 844, 1688, 4009, 8018, 16036, 32072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32072 is composite. Its prime factorisation is
- 3
The divisors add up to 63600; without 32072 itself that is 31528, so 32072 is deficient (31528 is less than 32072). Euler's totient φ(32072) = 15120 numbers up to 32072 share no factor with it.
- 4
The digits of 32072 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32072 = 2^{3} \times 19 \times 211 \]32072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63600 |
| Euler totient φ(n) | 15120 |
| Square | 1028613184 |
| Cube | 32989682037248 |
| Square root | 179.086571 (= 2√8018) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2072 × |
32072 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and seventy-two |
| Binary (base 2) | 111110101001000 |
| Octal (base 8) | 76510 |
| Hexadecimal (base 16) | 7D48 |
| Base 3 | 1121222212 |
| As time | 32072 seconds = 8 h 54 min 32 s |
Is 32072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32072 ÷ 2 = 16036) | 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 | Yes (32072 ÷ 4 = 8018) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (32072 ÷ 8 = 4009) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32072 a prime number?
No. 32072 = × 19 × 211, so it is divisible by 2.
What are the factors of 32072?
1, 2, 4, 8, 19, 38, 76, 152, 211, 422, 844, 1688, 4009, 8018, 16036, 32072.
What is 32072 in binary?
111110101001000 (hexadecimal 7D48, octal 76510).
What is the square root of 32072?
About 179.0866, exactly 2√8018.
Is 32072 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32072?
It is a composite number with 16 divisors.