The number 83132
83132 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2969. Divisors (12): 1, 2, 4, 7, 14, 28, 2969, 5938, 11876, 20783, 41566, 83132.
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How to work it out
- 1
83132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83132 is composite. Its prime factorisation is
- 3
The divisors add up to 166320; without 83132 itself that is 83188, so 83132 is abundant (83188 is more than 83132). Euler's totient φ(83132) = 35616 numbers up to 83132 share no factor with it.
- 4
The digits of 83132 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83132 = 2^{2} \times 7 \times 2969 \]83132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 166320 |
| Euler totient φ(n) | 35616 |
| Square | 6910929424 |
| Cube | 574519384875968 |
| Square root | 288.326204 (= 2√20783) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3132 × |
83132 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and thirty-two |
| Binary (base 2) | 10100010010111100 |
| Octal (base 8) | 242274 |
| Hexadecimal (base 16) | 144BC |
| Base 3 | 11020000222 |
| As time | 83132 seconds = 23 h 5 min 32 s |
Is 83132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83132 ÷ 2 = 41566) | 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 (83132 ÷ 4 = 20783) | 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 | Yes (83132 ÷ 7 = 11876) | 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 8) | 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 5) | 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 83132 a prime number?
No. 83132 = × 7 × 2969, so it is divisible by 2.
What are the factors of 83132?
1, 2, 4, 7, 14, 28, 2969, 5938, 11876, 20783, 41566, 83132.
What is 83132 in binary?
10100010010111100 (hexadecimal 144BC, octal 242274).
What is the square root of 83132?
About 288.3262, exactly 2√20783.
Is 83132 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 83132?
It is a composite number with 12 divisors.