The number 53382
53382 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 31 × 41. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 31, 41, 42, 62, 82, 93, 123, 186, 217 … 53382.
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How to work it out
- 1
What is special about 53382: a Harshad number: divisible by its digit sum 21.
- 2
53382 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 53382 itself that is 75642, so 53382 is abundant (75642 is more than 53382). Euler's totient φ(53382) = 14400 numbers up to 53382 share no factor with it.
- 4
The digits of 53382 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53382 = 2 \times 3 \times 7 \times 31 \times 41 \]
53382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 14400 |
| Square | 2849637924 |
| Cube | 152119371658968 |
| Square root | 231.045450 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3382 × |
53382 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and eighty-two |
| Binary (base 2) | 1101000010000110 |
| Octal (base 8) | 150206 |
| Hexadecimal (base 16) | D086 |
| Base 3 | 2201020010 |
| As time | 53382 seconds = 14 h 49 min 42 s |
Is 53382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53382 ÷ 2 = 26691) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53382 ÷ 3 = 17794) | 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 | Yes (53382 ÷ 6 = 8897) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53382 ÷ 7 = 7626) | 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 | No (remainder 3) | 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 | No (remainder 10) | 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 53382 a prime number?
No. 53382 = 2 × 3 × 7 × 31 × 41, so it is divisible by 2.
What are the factors of 53382?
1, 2, 3, 6, 7, 14, 21, 31, 41, 42, 62, 82, 93, 123, 186, 217, 246, 287, 434, 574, 651, 861, 1271, 1302, 1722, 2542, 3813, 7626, 8897, 17794, 26691, 53382.
What is 53382 in binary?
1101000010000110 (hexadecimal D086, octal 150206).
What is the square root of 53382?
About 231.0455.
Is 53382 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53382?
53382 is a Harshad number: divisible by its digit sum 21.