The number 53508
53508 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 13. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52 … 53508.
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How to work it out
- 1
What is special about 53508: a Harshad number: divisible by its digit sum 21.
- 2
53508 is composite. Its prime factorisation is
- 3
The divisors add up to 156800; without 53508 itself that is 103292, so 53508 is abundant (103292 is more than 53508). Euler's totient φ(53508) = 14112 numbers up to 53508 share no factor with it.
- 4
The digits of 53508 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53508 = 2^{2} \times 3 \times 7^{3} \times 13 \]53508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156800 |
| Euler totient φ(n) | 14112 |
| Square | 2863106064 |
| Cube | 153199079272512 |
| Square root | 231.317963 (= 14√273) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3508 × |
53508 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and eight |
| Binary (base 2) | 1101000100000100 |
| Octal (base 8) | 150404 |
| Hexadecimal (base 16) | D104 |
| Base 3 | 2201101210 |
| As time | 53508 seconds = 14 h 51 min 48 s |
Is 53508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53508 ÷ 2 = 26754) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53508 ÷ 3 = 17836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53508 ÷ 4 = 13377) | 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 (53508 ÷ 6 = 8918) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53508 ÷ 7 = 7644) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (53508 ÷ 12 = 4459) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53508 a prime number?
No. 53508 = × 3 × × 13, so it is divisible by 2.
What are the factors of 53508?
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 343, 364, 546, 588, 637, 686, 1029, 1092, 1274, 1372, 1911, 2058, 2548, 3822, 4116, 4459, 7644, 8918, 13377, 17836, 26754, 53508.
What is 53508 in binary?
1101000100000100 (hexadecimal D104, octal 150404).
What is the square root of 53508?
About 231.3180, exactly 14√273.
Is 53508 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53508?
53508 is a Harshad number: divisible by its digit sum 21.