The number 54438
54438 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 211. Divisors (16): 1, 2, 3, 6, 43, 86, 129, 211, 258, 422, 633, 1266, 9073, 18146, 27219, 54438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54438: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54438 is composite. Its prime factorisation is
- 3
The divisors add up to 111936; without 54438 itself that is 57498, so 54438 is abundant (57498 is more than 54438). Euler's totient φ(54438) = 17640 numbers up to 54438 share no factor with it.
- 4
The digits of 54438 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54438 = 2 \times 3 \times 43 \times 211 \]
54438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 111936 |
| Euler totient φ(n) | 17640 |
| Square | 2963495844 |
| Cube | 161326786755672 |
| Square root | 233.319523 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4438 × |
54438 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and thirty-eight |
| Binary (base 2) | 1101010010100110 |
| Octal (base 8) | 152246 |
| Hexadecimal (base 16) | D4A6 |
| Base 3 | 2202200020 |
| As time | 54438 seconds = 15 h 7 min 18 s |
Is 54438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54438 ÷ 2 = 27219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54438 ÷ 3 = 18146) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (54438 ÷ 6 = 9073) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54438 a prime number?
No. 54438 = 2 × 3 × 43 × 211, so it is divisible by 2.
What are the factors of 54438?
1, 2, 3, 6, 43, 86, 129, 211, 258, 422, 633, 1266, 9073, 18146, 27219, 54438.
What is 54438 in binary?
1101010010100110 (hexadecimal D4A6, octal 152246).
What is the square root of 54438?
About 233.3195.
Is 54438 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 54438?
54438 is a happy number: repeatedly adding the squares of its digits reaches 1.