The number 54704
54704 is a composite number with 20 divisors. Its prime factorisation is × 13 × 263. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 263, 526, 1052, 2104, 3419, 4208 … 54704.
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How to work it out
- 1
54704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54704 is composite. Its prime factorisation is
- 3
The divisors add up to 114576; without 54704 itself that is 59872, so 54704 is abundant (59872 is more than 54704). Euler's totient φ(54704) = 25152 numbers up to 54704 share no factor with it.
- 4
The digits of 54704 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54704 = 2^{4} \times 13 \times 263 \]54704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 114576 |
| Euler totient φ(n) | 25152 |
| Square | 2992527616 |
| Cube | 163703230705664 |
| Square root | 233.888862 (= 4√3419) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.4704 × |
54704 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and four |
| Binary (base 2) | 1101010110110000 |
| Octal (base 8) | 152660 |
| Hexadecimal (base 16) | D5B0 |
| Base 3 | 2210001002 |
| As time | 54704 seconds = 15 h 11 min 44 s |
Is 54704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54704 ÷ 2 = 27352) | 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 (54704 ÷ 4 = 13676) | 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 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 (54704 ÷ 8 = 6838) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 54704 a prime number?
No. 54704 = × 13 × 263, so it is divisible by 2.
What are the factors of 54704?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 263, 526, 1052, 2104, 3419, 4208, 6838, 13676, 27352, 54704.
What is 54704 in binary?
1101010110110000 (hexadecimal D5B0, octal 152660).
What is the square root of 54704?
About 233.8889, exactly 4√3419.
Is 54704 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54704?
It is a composite number with 20 divisors.