The number 73168
73168 is a composite number with 20 divisors. Its prime factorisation is × 17 × 269. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 269, 272, 538, 1076, 2152, 4304, 4573 … 73168.
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How to work it out
- 1
73168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73168 is composite. Its prime factorisation is
- 3
The divisors add up to 150660; without 73168 itself that is 77492, so 73168 is abundant (77492 is more than 73168). Euler's totient φ(73168) = 34304 numbers up to 73168 share no factor with it.
- 4
The digits of 73168 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73168 = 2^{4} \times 17 \times 269 \]73168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 150660 |
| Euler totient φ(n) | 34304 |
| Square | 5353556224 |
| Cube | 391709001797632 |
| Square root | 270.495841 (= 4√4573) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3168 × |
73168 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and sixty-eight |
| Binary (base 2) | 10001110111010000 |
| Octal (base 8) | 216720 |
| Hexadecimal (base 16) | 11DD0 |
| Base 3 | 10201100221 |
| As time | 73168 seconds = 20 h 19 min 28 s |
Is 73168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73168 ÷ 2 = 36584) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73168 ÷ 4 = 18292) | 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 4) | 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 (73168 ÷ 8 = 9146) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73168 a prime number?
No. 73168 = × 17 × 269, so it is divisible by 2.
What are the factors of 73168?
1, 2, 4, 8, 16, 17, 34, 68, 136, 269, 272, 538, 1076, 2152, 4304, 4573, 9146, 18292, 36584, 73168.
What is 73168 in binary?
10001110111010000 (hexadecimal 11DD0, octal 216720).
What is the square root of 73168?
About 270.4958, exactly 4√4573.
Is 73168 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73168?
It is a composite number with 20 divisors.