The number 52173
52173 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 31. Divisors (24): 1, 3, 9, 11, 17, 31, 33, 51, 93, 99, 153, 187, 279, 341, 527, 561 … 52173.
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How to work it out
- 1
52173 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52173 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 52173 itself that is 37683, so 52173 is deficient (37683 is less than 52173). Euler's totient φ(52173) = 28800 numbers up to 52173 share no factor with it.
- 4
The digits of 52173 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52173 = 3^{2} \times 11 \times 17 \times 31 \]52173 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 28800 |
| Square | 2722021929 |
| Cube | 142016050101717 |
| Square root | 228.414098 (= 3√5797) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.2173 × |
52173 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and seventy-three |
| Binary (base 2) | 1100101111001101 |
| Octal (base 8) | 145715 |
| Hexadecimal (base 16) | CBCD |
| Base 3 | 2122120100 |
| As time | 52173 seconds = 14 h 29 min 33 s |
Is 52173 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 (52173 ÷ 3 = 17391) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52173 ÷ 9 = 5797) | 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 | Yes (52173 ÷ 11 = 4743) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52173 a prime number?
No. 52173 = × 11 × 17 × 31, so it is divisible by 3.
What are the factors of 52173?
1, 3, 9, 11, 17, 31, 33, 51, 93, 99, 153, 187, 279, 341, 527, 561, 1023, 1581, 1683, 3069, 4743, 5797, 17391, 52173.
What is 52173 in binary?
1100101111001101 (hexadecimal CBCD, octal 145715).
What is the square root of 52173?
About 228.4141, exactly 3√5797.
Is 52173 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52173?
It is a composite number with 24 divisors.