The number 73827
73827 is a composite number with 12 divisors. Its prime factorisation is × 13 × 631. Divisors (12): 1, 3, 9, 13, 39, 117, 631, 1893, 5679, 8203, 24609, 73827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73827 is composite. Its prime factorisation is
- 3
The divisors add up to 115024; without 73827 itself that is 41197, so 73827 is deficient (41197 is less than 73827). Euler's totient φ(73827) = 45360 numbers up to 73827 share no factor with it.
- 4
The digits of 73827 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73827 = 3^{2} \times 13 \times 631 \]73827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115024 |
| Euler totient φ(n) | 45360 |
| Square | 5450425929 |
| Cube | 402388595060283 |
| Square root | 271.711244 (= 3√8203) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.3827 × |
73827 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and twenty-seven |
| Binary (base 2) | 10010000001100011 |
| Octal (base 8) | 220143 |
| Hexadecimal (base 16) | 12063 |
| Base 3 | 10202021100 |
| As time | 73827 seconds = 20 h 30 min 27 s |
Is 73827 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 (73827 ÷ 3 = 24609) | 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 | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73827 ÷ 9 = 8203) | 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 73827 a prime number?
No. 73827 = × 13 × 631, so it is divisible by 3.
What are the factors of 73827?
1, 3, 9, 13, 39, 117, 631, 1893, 5679, 8203, 24609, 73827.
What is 73827 in binary?
10010000001100011 (hexadecimal 12063, octal 220143).
What is the square root of 73827?
About 271.7112, exactly 3√8203.
Is 73827 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73827?
It is a composite number with 12 divisors.