The number 83832
83832 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 499. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 83832.
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How to work it out
- 1
What is special about 83832: a Harshad number: divisible by its digit sum 24.
- 2
83832 is composite. Its prime factorisation is
- 3
The divisors add up to 240000; without 83832 itself that is 156168, so 83832 is abundant (156168 is more than 83832). Euler's totient φ(83832) = 23904 numbers up to 83832 share no factor with it.
- 4
The digits of 83832 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83832 = 2^{3} \times 3 \times 7 \times 499 \]83832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 240000 |
| Euler totient φ(n) | 23904 |
| Square | 7027804224 |
| Cube | 589154883706368 |
| Square root | 289.537562 (= 2√20958) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.3832 × |
83832 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and thirty-two |
| Binary (base 2) | 10100011101111000 |
| Octal (base 8) | 243570 |
| Hexadecimal (base 16) | 14778 |
| Base 3 | 11020222220 |
| As time | 83832 seconds = 23 h 17 min 12 s |
Is 83832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83832 ÷ 2 = 41916) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83832 ÷ 3 = 27944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83832 ÷ 4 = 20958) | 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 | Yes (83832 ÷ 6 = 13972) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83832 ÷ 7 = 11976) | 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 (83832 ÷ 8 = 10479) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83832 ÷ 12 = 6986) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83832 a prime number?
No. 83832 = × 3 × 7 × 499, so it is divisible by 2.
What are the factors of 83832?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 499, 998, 1497, 1996, 2994, 3493, 3992, 5988, 6986, 10479, 11976, 13972, 20958, 27944, 41916, 83832.
What is 83832 in binary?
10100011101111000 (hexadecimal 14778, octal 243570).
What is the square root of 83832?
About 289.5376, exactly 2√20958.
Is 83832 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83832?
83832 is a Harshad number: divisible by its digit sum 24.