The number 54462
54462 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 313. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 313, 626, 939, 1878, 9077, 18154, 27231, 54462.
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How to work it out
- 1
What is special about 54462: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54462 is composite. Its prime factorisation is
- 3
The divisors add up to 113040; without 54462 itself that is 58578, so 54462 is abundant (58578 is more than 54462). Euler's totient φ(54462) = 17472 numbers up to 54462 share no factor with it.
- 4
The digits of 54462 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
\[ 54462 = 2 \times 3 \times 29 \times 313 \]
54462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113040 |
| Euler totient φ(n) | 17472 |
| Square | 2966109444 |
| Cube | 161540252539128 |
| Square root | 233.370949 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.4462 × |
54462 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and sixty-two |
| Binary (base 2) | 1101010010111110 |
| Octal (base 8) | 152276 |
| Hexadecimal (base 16) | D4BE |
| Base 3 | 2202201010 |
| As time | 54462 seconds = 15 h 7 min 42 s |
Is 54462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54462 ÷ 2 = 27231) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54462 ÷ 3 = 18154) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54462 ÷ 6 = 9077) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54462 a prime number?
No. 54462 = 2 × 3 × 29 × 313, so it is divisible by 2.
What are the factors of 54462?
1, 2, 3, 6, 29, 58, 87, 174, 313, 626, 939, 1878, 9077, 18154, 27231, 54462.
What is 54462 in binary?
1101010010111110 (hexadecimal D4BE, octal 152276).
What is the square root of 54462?
About 233.3709.
Is 54462 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54462?
54462 is a happy number: repeatedly adding the squares of its digits reaches 1.