The number 53833
53833 is a composite number with 8 divisors. Its prime factorisation is 13 × 41 × 101. Divisors (8): 1, 13, 41, 101, 533, 1313, 4141, 53833.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53833 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53833 is composite. Its prime factorisation is
- 3
The divisors add up to 59976; without 53833 itself that is 6143, so 53833 is deficient (6143 is less than 53833). Euler's totient φ(53833) = 48000 numbers up to 53833 share no factor with it.
- 4
The digits of 53833 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53833 = 13 \times 41 \times 101 \]
53833 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59976 |
| Euler totient φ(n) | 48000 |
| Square | 2897991889 |
| Cube | 156007597360537 |
| Square root | 232.019396 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3833 × |
53833 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and thirty-three |
| Binary (base 2) | 1101001001001001 |
| Octal (base 8) | 151111 |
| Hexadecimal (base 16) | D249 |
| Base 3 | 2201211211 |
| As time | 53833 seconds = 14 h 57 min 13 s |
Is 53833 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53833 a prime number?
No. 53833 = 13 × 41 × 101, so it is divisible by 13.
What are the factors of 53833?
1, 13, 41, 101, 533, 1313, 4141, 53833.
What is 53833 in binary?
1101001001001001 (hexadecimal D249, octal 151111).
What is the square root of 53833?
About 232.0194.
Is 53833 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53833?
It is a composite number with 8 divisors.