The number 53829
53829 is a composite number with 6 divisors. Its prime factorisation is × 5981. Divisors (6): 1, 3, 9, 5981, 17943, 53829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53829 is composite. Its prime factorisation is
- 3
The divisors add up to 77766; without 53829 itself that is 23937, so 53829 is deficient (23937 is less than 53829). Euler's totient φ(53829) = 35880 numbers up to 53829 share no factor with it.
- 4
The digits of 53829 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53829 = 3^{2} \times 5981 \]53829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 77766 |
| Euler totient φ(n) | 35880 |
| Square | 2897561241 |
| Cube | 155972824041789 |
| Square root | 232.010776 (= 3√5981) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3829 × |
53829 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and twenty-nine |
| Binary (base 2) | 1101001001000101 |
| Octal (base 8) | 151105 |
| Hexadecimal (base 16) | D245 |
| Base 3 | 2201211200 |
| As time | 53829 seconds = 14 h 57 min 9 s |
Is 53829 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 (53829 ÷ 3 = 17943) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (53829 ÷ 9 = 5981) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53829 a prime number?
No. 53829 = × 5981, so it is divisible by 3.
What are the factors of 53829?
1, 3, 9, 5981, 17943, 53829.
What is 53829 in binary?
1101001001000101 (hexadecimal D245, octal 151105).
What is the square root of 53829?
About 232.0108, exactly 3√5981.
Is 53829 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53829?
It is a composite number with 6 divisors.