The number 73829
73829 is a composite number with 8 divisors. Its prime factorisation is 7 × 53 × 199. Divisors (8): 1, 7, 53, 199, 371, 1393, 10547, 73829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73829 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 73829 itself that is 12571, so 73829 is deficient (12571 is less than 73829). Euler's totient φ(73829) = 61776 numbers up to 73829 share no factor with it.
- 4
The digits of 73829 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73829 = 7 \times 53 \times 199 \]
73829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 61776 |
| Square | 5450721241 |
| Cube | 402421298501789 |
| Square root | 271.714924 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.3829 × |
73829 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and twenty-nine |
| Binary (base 2) | 10010000001100101 |
| Octal (base 8) | 220145 |
| Hexadecimal (base 16) | 12065 |
| Base 3 | 10202021102 |
| As time | 73829 seconds = 20 h 30 min 29 s |
Is 73829 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73829 ÷ 7 = 10547) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73829 a prime number?
No. 73829 = 7 × 53 × 199, so it is divisible by 7.
What are the factors of 73829?
1, 7, 53, 199, 371, 1393, 10547, 73829.
What is 73829 in binary?
10010000001100101 (hexadecimal 12065, octal 220145).
What is the square root of 73829?
About 271.7149.
Is 73829 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 73829?
It is a composite number with 8 divisors.