The number 53838
53838 is a composite number with 16 divisors. Its prime factorisation is 2 × × 997. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 997, 1994, 2991, 5982, 8973, 17946, 26919, 53838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53838: a Harshad number: divisible by its digit sum 27.
- 2
53838 is composite. Its prime factorisation is
- 3
The divisors add up to 119760; without 53838 itself that is 65922, so 53838 is abundant (65922 is more than 53838). Euler's totient φ(53838) = 17928 numbers up to 53838 share no factor with it.
- 4
The digits of 53838 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53838 = 2 \times 3^{3} \times 997 \]53838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 119760 |
| Euler totient φ(n) | 17928 |
| Square | 2898530244 |
| Cube | 156051071276472 |
| Square root | 232.030170 (= 3√5982) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.3838 × |
53838 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and thirty-eight |
| Binary (base 2) | 1101001001001110 |
| Octal (base 8) | 151116 |
| Hexadecimal (base 16) | D24E |
| Base 3 | 2201212000 |
| As time | 53838 seconds = 14 h 57 min 18 s |
Is 53838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53838 ÷ 2 = 26919) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53838 ÷ 3 = 17946) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53838 ÷ 6 = 8973) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53838 ÷ 9 = 5982) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53838 a prime number?
No. 53838 = 2 × × 997, so it is divisible by 2.
What are the factors of 53838?
1, 2, 3, 6, 9, 18, 27, 54, 997, 1994, 2991, 5982, 8973, 17946, 26919, 53838.
What is 53838 in binary?
1101001001001110 (hexadecimal D24E, octal 151116).
What is the square root of 53838?
About 232.0302, exactly 3√5982.
Is 53838 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53838?
53838 is a Harshad number: divisible by its digit sum 27.