The number 54808
54808 is a composite number with 32 divisors. Its prime factorisation is × 13 × 17 × 31. Divisors (32): 1, 2, 4, 8, 13, 17, 26, 31, 34, 52, 62, 68, 104, 124, 136, 221 … 54808.
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How to work it out
- 1
54808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54808 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 54808 itself that is 66152, so 54808 is abundant (66152 is more than 54808). Euler's totient φ(54808) = 23040 numbers up to 54808 share no factor with it.
- 4
The digits of 54808 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54808 = 2^{3} \times 13 \times 17 \times 31 \]54808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 23040 |
| Square | 3003916864 |
| Cube | 164638675482112 |
| Square root | 234.111085 (= 2√13702) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.4808 × |
54808 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and eight |
| Binary (base 2) | 1101011000011000 |
| Octal (base 8) | 153030 |
| Hexadecimal (base 16) | D618 |
| Base 3 | 2210011221 |
| As time | 54808 seconds = 15 h 13 min 28 s |
Is 54808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54808 ÷ 2 = 27404) | 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 | Yes (54808 ÷ 4 = 13702) | 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 | No (remainder 4) | 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 | Yes (54808 ÷ 8 = 6851) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54808 a prime number?
No. 54808 = × 13 × 17 × 31, so it is divisible by 2.
What are the factors of 54808?
1, 2, 4, 8, 13, 17, 26, 31, 34, 52, 62, 68, 104, 124, 136, 221, 248, 403, 442, 527, 806, 884, 1054, 1612, 1768, 2108, 3224, 4216, 6851, 13702, 27404, 54808.
What is 54808 in binary?
1101011000011000 (hexadecimal D618, octal 153030).
What is the square root of 54808?
About 234.1111, exactly 2√13702.
Is 54808 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 54808?
It is a composite number with 32 divisors.