The number 53835
53835 is a palindrome: it reads 53835 backwards too and a binary palindrome (1101001001001011). Its prime factorisation is 3 × 5 × 37 × 97. Divisors (16): 1, 3, 5, 15, 37, 97, 111, 185, 291, 485, 555, 1455, 3589, 10767, 17945, 53835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53835: a palindrome: it reads 53835 backwards too; a binary palindrome (1101001001001011).
- 2
53835 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 53835 itself that is 35541, so 53835 is deficient (35541 is less than 53835). Euler's totient φ(53835) = 27648 numbers up to 53835 share no factor with it.
- 4
The digits of 53835 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53835 = 3 \times 5 \times 37 \times 97 \]
53835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 27648 |
| Square | 2898207225 |
| Cube | 156024985957875 |
| Square root | 232.023706 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3835 × |
53835 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and thirty-five |
| Binary (base 2) | 1101001001001011 |
| Octal (base 8) | 151113 |
| Hexadecimal (base 16) | D24B |
| Base 3 | 2201211220 |
| As time | 53835 seconds = 14 h 57 min 15 s |
Is 53835 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 (53835 ÷ 3 = 17945) | 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 | Yes (53835 ÷ 5 = 10767) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 53835 a prime number?
No. 53835 = 3 × 5 × 37 × 97, so it is divisible by 3.
What are the factors of 53835?
1, 3, 5, 15, 37, 97, 111, 185, 291, 485, 555, 1455, 3589, 10767, 17945, 53835.
What is 53835 in binary?
1101001001001011 (hexadecimal D24B, octal 151113).
What is the square root of 53835?
About 232.0237.
Is 53835 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53835?
53835 is a palindrome: it reads 53835 backwards too; a binary palindrome (1101001001001011).