The number 83732
83732 is a composite number with 18 divisors. Its prime factorisation is × × 173. Divisors (18): 1, 2, 4, 11, 22, 44, 121, 173, 242, 346, 484, 692, 1903, 3806, 7612, 20933 … 83732.
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How to work it out
- 1
83732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83732 is composite. Its prime factorisation is
- 3
The divisors add up to 161994; without 83732 itself that is 78262, so 83732 is deficient (78262 is less than 83732). Euler's totient φ(83732) = 37840 numbers up to 83732 share no factor with it.
- 4
The digits of 83732 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83732 = 2^{2} \times 11^{2} \times 173 \]83732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 161994 |
| Euler totient φ(n) | 37840 |
| Square | 7011047824 |
| Cube | 587049056399168 |
| Square root | 289.364822 (= 22√173) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.3732 × |
83732 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and thirty-two |
| Binary (base 2) | 10100011100010100 |
| Octal (base 8) | 243424 |
| Hexadecimal (base 16) | 14714 |
| Base 3 | 11020212012 |
| As time | 83732 seconds = 23 h 15 min 32 s |
Is 83732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83732 ÷ 2 = 41866) | 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 (83732 ÷ 4 = 20933) | 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 | No (remainder 4) | 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 | Yes (83732 ÷ 11 = 7612) | 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 83732 a prime number?
No. 83732 = × × 173, so it is divisible by 2.
What are the factors of 83732?
1, 2, 4, 11, 22, 44, 121, 173, 242, 346, 484, 692, 1903, 3806, 7612, 20933, 41866, 83732.
What is 83732 in binary?
10100011100010100 (hexadecimal 14714, octal 243424).
What is the square root of 83732?
About 289.3648, exactly 22√173.
Is 83732 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83732?
It is a composite number with 18 divisors.