The number 53808
53808 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 59. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 59, 76, 114 … 53808.
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How to work it out
- 1
What is special about 53808: a Harshad number: divisible by its digit sum 24.
- 2
53808 is composite. Its prime factorisation is
- 3
The divisors add up to 148800; without 53808 itself that is 94992, so 53808 is abundant (94992 is more than 53808). Euler's totient φ(53808) = 16704 numbers up to 53808 share no factor with it.
- 4
The digits of 53808 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53808 = 2^{4} \times 3 \times 19 \times 59 \]53808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 148800 |
| Euler totient φ(n) | 16704 |
| Square | 2895300864 |
| Cube | 155790348890112 |
| Square root | 231.965515 (= 4√3363) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3808 × |
53808 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and eight |
| Binary (base 2) | 1101001000110000 |
| Octal (base 8) | 151060 |
| Hexadecimal (base 16) | D230 |
| Base 3 | 2201210220 |
| As time | 53808 seconds = 14 h 56 min 48 s |
Is 53808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53808 ÷ 2 = 26904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53808 ÷ 3 = 17936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53808 ÷ 4 = 13452) | 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 (53808 ÷ 6 = 8968) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (53808 ÷ 8 = 6726) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53808 ÷ 12 = 4484) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53808 a prime number?
No. 53808 = × 3 × 19 × 59, so it is divisible by 2.
What are the factors of 53808?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 59, 76, 114, 118, 152, 177, 228, 236, 304, 354, 456, 472, 708, 912, 944, 1121, 1416, 2242, 2832, 3363, 4484, 6726, 8968, 13452, 17936, 26904, 53808.
What is 53808 in binary?
1101001000110000 (hexadecimal D230, octal 151060).
What is the square root of 53808?
About 231.9655, exactly 4√3363.
Is 53808 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53808?
53808 is a Harshad number: divisible by its digit sum 24.