The number 54408
54408 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2267. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2267, 4534, 6801, 9068, 13602, 18136, 27204, 54408.
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How to work it out
- 1
54408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54408 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 54408 itself that is 81672, so 54408 is abundant (81672 is more than 54408). Euler's totient φ(54408) = 18128 numbers up to 54408 share no factor with it.
- 4
The digits of 54408 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54408 = 2^{3} \times 3 \times 2267 \]54408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 18128 |
| Square | 2960230464 |
| Cube | 161060219085312 |
| Square root | 233.255225 (= 2√13602) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4408 × |
54408 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and eight |
| Binary (base 2) | 1101010010001000 |
| Octal (base 8) | 152210 |
| Hexadecimal (base 16) | D488 |
| Base 3 | 2202122010 |
| As time | 54408 seconds = 15 h 6 min 48 s |
Is 54408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54408 ÷ 2 = 27204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54408 ÷ 3 = 18136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54408 ÷ 4 = 13602) | 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 | Yes (54408 ÷ 6 = 9068) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (54408 ÷ 8 = 6801) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54408 ÷ 12 = 4534) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54408 a prime number?
No. 54408 = × 3 × 2267, so it is divisible by 2.
What are the factors of 54408?
1, 2, 3, 4, 6, 8, 12, 24, 2267, 4534, 6801, 9068, 13602, 18136, 27204, 54408.
What is 54408 in binary?
1101010010001000 (hexadecimal D488, octal 152210).
What is the square root of 54408?
About 233.2552, exactly 2√13602.
Is 54408 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54408?
It is a composite number with 16 divisors.