The number 53482
53482 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 17. Divisors (24): 1, 2, 11, 13, 17, 22, 26, 34, 121, 143, 187, 221, 242, 286, 374, 442 … 53482.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53482: a Harshad number: divisible by its digit sum 22.
- 2
53482 is composite. Its prime factorisation is
- 3
The divisors add up to 100548; without 53482 itself that is 47066, so 53482 is deficient (47066 is less than 53482). Euler's totient φ(53482) = 21120 numbers up to 53482 share no factor with it.
- 4
The digits of 53482 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53482 = 2 \times 11^{2} \times 13 \times 17 \]53482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100548 |
| Euler totient φ(n) | 21120 |
| Square | 2860324324 |
| Cube | 152975865496168 |
| Square root | 231.261756 (= 11√442) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3482 × |
53482 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and eighty-two |
| Binary (base 2) | 1101000011101010 |
| Octal (base 8) | 150352 |
| Hexadecimal (base 16) | D0EA |
| Base 3 | 2201100211 |
| As time | 53482 seconds = 14 h 51 min 22 s |
Is 53482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53482 ÷ 2 = 26741) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53482 ÷ 11 = 4862) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53482 a prime number?
No. 53482 = 2 × × 13 × 17, so it is divisible by 2.
What are the factors of 53482?
1, 2, 11, 13, 17, 22, 26, 34, 121, 143, 187, 221, 242, 286, 374, 442, 1573, 2057, 2431, 3146, 4114, 4862, 26741, 53482.
What is 53482 in binary?
1101000011101010 (hexadecimal D0EA, octal 150352).
What is the square root of 53482?
About 231.2618, exactly 11√442.
Is 53482 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53482?
53482 is a Harshad number: divisible by its digit sum 22.