The number 54908
54908 is a composite number with 24 divisors. Its prime factorisation is × 7 × 37 × 53. Divisors (24): 1, 2, 4, 7, 14, 28, 37, 53, 74, 106, 148, 212, 259, 371, 518, 742 … 54908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54908 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 54908 itself that is 60004, so 54908 is abundant (60004 is more than 54908). Euler's totient φ(54908) = 22464 numbers up to 54908 share no factor with it.
- 4
The digits of 54908 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54908 = 2^{2} \times 7 \times 37 \times 53 \]54908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 22464 |
| Square | 3014888464 |
| Cube | 165541495781312 |
| Square root | 234.324561 (= 2√13727) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4908 × |
54908 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and eight |
| Binary (base 2) | 1101011001111100 |
| Octal (base 8) | 153174 |
| Hexadecimal (base 16) | D67C |
| Base 3 | 2210022122 |
| As time | 54908 seconds = 15 h 15 min 8 s |
Is 54908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54908 ÷ 2 = 27454) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54908 ÷ 4 = 13727) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54908 ÷ 7 = 7844) | 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 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54908 a prime number?
No. 54908 = × 7 × 37 × 53, so it is divisible by 2.
What are the factors of 54908?
1, 2, 4, 7, 14, 28, 37, 53, 74, 106, 148, 212, 259, 371, 518, 742, 1036, 1484, 1961, 3922, 7844, 13727, 27454, 54908.
What is 54908 in binary?
1101011001111100 (hexadecimal D67C, octal 153174).
What is the square root of 54908?
About 234.3246, exactly 2√13727.
Is 54908 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 54908?
It is a composite number with 24 divisors.