The number 54404
54404 is a composite number with 24 divisors. Its prime factorisation is × 7 × 29 × 67. Divisors (24): 1, 2, 4, 7, 14, 28, 29, 58, 67, 116, 134, 203, 268, 406, 469, 812 … 54404.
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How to work it out
- 1
54404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54404 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 54404 itself that is 59836, so 54404 is abundant (59836 is more than 54404). Euler's totient φ(54404) = 22176 numbers up to 54404 share no factor with it.
- 4
The digits of 54404 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54404 = 2^{2} \times 7 \times 29 \times 67 \]54404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 22176 |
| Square | 2959795216 |
| Cube | 161024698931264 |
| Square root | 233.246651 (= 2√13601) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.4404 × |
54404 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and four |
| Binary (base 2) | 1101010010000100 |
| Octal (base 8) | 152204 |
| Hexadecimal (base 16) | D484 |
| Base 3 | 2202121222 |
| As time | 54404 seconds = 15 h 6 min 44 s |
Is 54404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54404 ÷ 2 = 27202) | 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 (54404 ÷ 4 = 13601) | 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 | Yes (54404 ÷ 7 = 7772) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 54404 a prime number?
No. 54404 = × 7 × 29 × 67, so it is divisible by 2.
What are the factors of 54404?
1, 2, 4, 7, 14, 28, 29, 58, 67, 116, 134, 203, 268, 406, 469, 812, 938, 1876, 1943, 3886, 7772, 13601, 27202, 54404.
What is 54404 in binary?
1101010010000100 (hexadecimal D484, octal 152204).
What is the square root of 54404?
About 233.2467, exactly 2√13601.
Is 54404 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 54404?
It is a composite number with 24 divisors.