The number 54723
54723 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 29 × 37. Divisors (16): 1, 3, 17, 29, 37, 51, 87, 111, 493, 629, 1073, 1479, 1887, 3219, 18241, 54723.
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How to work it out
- 1
What is special about 54723: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54723 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 54723 itself that is 27357, so 54723 is deficient (27357 is less than 54723). Euler's totient φ(54723) = 32256 numbers up to 54723 share no factor with it.
- 4
The digits of 54723 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54723 = 3 \times 17 \times 29 \times 37 \]
54723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 32256 |
| Square | 2994606729 |
| Cube | 163873864031067 |
| Square root | 233.929477 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.4723 × |
54723 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and twenty-three |
| Binary (base 2) | 1101010111000011 |
| Octal (base 8) | 152703 |
| Hexadecimal (base 16) | D5C3 |
| Base 3 | 2210001210 |
| As time | 54723 seconds = 15 h 12 min 3 s |
Is 54723 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54723 ÷ 3 = 18241) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54723 a prime number?
No. 54723 = 3 × 17 × 29 × 37, so it is divisible by 3.
What are the factors of 54723?
1, 3, 17, 29, 37, 51, 87, 111, 493, 629, 1073, 1479, 1887, 3219, 18241, 54723.
What is 54723 in binary?
1101010111000011 (hexadecimal D5C3, octal 152703).
What is the square root of 54723?
About 233.9295.
Is 54723 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54723?
54723 is a happy number: repeatedly adding the squares of its digits reaches 1.