The number 54104
54104 is a composite number with 8 divisors. Its prime factorisation is × 6763. Divisors (8): 1, 2, 4, 8, 6763, 13526, 27052, 54104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54104 is composite. Its prime factorisation is
- 3
The divisors add up to 101460; without 54104 itself that is 47356, so 54104 is deficient (47356 is less than 54104). Euler's totient φ(54104) = 27048 numbers up to 54104 share no factor with it.
- 4
The digits of 54104 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54104 = 2^{3} \times 6763 \]54104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 101460 |
| Euler totient φ(n) | 27048 |
| Square | 2927242816 |
| Cube | 158375545316864 |
| Square root | 232.602666 (= 2√13526) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4104 × |
54104 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and four |
| Binary (base 2) | 1101001101011000 |
| Octal (base 8) | 151530 |
| Hexadecimal (base 16) | D358 |
| Base 3 | 2202012212 |
| As time | 54104 seconds = 15 h 1 min 44 s |
Is 54104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54104 ÷ 2 = 27052) | 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 (54104 ÷ 4 = 13526) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 1) | 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 (54104 ÷ 8 = 6763) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54104 a prime number?
No. 54104 = × 6763, so it is divisible by 2.
What are the factors of 54104?
1, 2, 4, 8, 6763, 13526, 27052, 54104.
What is 54104 in binary?
1101001101011000 (hexadecimal D358, octal 151530).
What is the square root of 54104?
About 232.6027, exactly 2√13526.
Is 54104 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 54104?
It is a composite number with 8 divisors.