The number 83727
83727 is a composite number with 16 divisors. Its prime factorisation is × 7 × 443. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 443, 1329, 3101, 3987, 9303, 11961, 27909, 83727.
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How to work it out
- 1
What is special about 83727: a Harshad number: divisible by its digit sum 27.
- 2
83727 is composite. Its prime factorisation is
- 3
The divisors add up to 142080; without 83727 itself that is 58353, so 83727 is deficient (58353 is less than 83727). Euler's totient φ(83727) = 47736 numbers up to 83727 share no factor with it.
- 4
The digits of 83727 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83727 = 3^{3} \times 7 \times 443 \]83727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142080 |
| Euler totient φ(n) | 47736 |
| Square | 7010210529 |
| Cube | 586943896961583 |
| Square root | 289.356182 (= 3√9303) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.3727 × |
83727 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and twenty-seven |
| Binary (base 2) | 10100011100001111 |
| Octal (base 8) | 243417 |
| Hexadecimal (base 16) | 1470F |
| Base 3 | 11020212000 |
| As time | 83727 seconds = 23 h 15 min 27 s |
Is 83727 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83727 ÷ 3 = 27909) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83727 ÷ 7 = 11961) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83727 ÷ 9 = 9303) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83727 a prime number?
No. 83727 = × 7 × 443, so it is divisible by 3.
What are the factors of 83727?
1, 3, 7, 9, 21, 27, 63, 189, 443, 1329, 3101, 3987, 9303, 11961, 27909, 83727.
What is 83727 in binary?
10100011100001111 (hexadecimal 1470F, octal 243417).
What is the square root of 83727?
About 289.3562, exactly 3√9303.
Is 83727 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83727?
83727 is a Harshad number: divisible by its digit sum 27.