The number 73017
73017 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 61. Divisors (24): 1, 3, 7, 9, 19, 21, 57, 61, 63, 133, 171, 183, 399, 427, 549, 1159 … 73017.
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How to work it out
- 1
73017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73017 is composite. Its prime factorisation is
- 3
The divisors add up to 128960; without 73017 itself that is 55943, so 73017 is deficient (55943 is less than 73017). Euler's totient φ(73017) = 38880 numbers up to 73017 share no factor with it.
- 4
The digits of 73017 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 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73017 = 3^{2} \times 7 \times 19 \times 61 \]73017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 128960 |
| Euler totient φ(n) | 38880 |
| Square | 5331482289 |
| Cube | 389288842295913 |
| Square root | 270.216580 (= 3√8113) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.3017 × |
73017 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and seventeen |
| Binary (base 2) | 10001110100111001 |
| Octal (base 8) | 216471 |
| Hexadecimal (base 16) | 11D39 |
| Base 3 | 10201011100 |
| As time | 73017 seconds = 20 h 16 min 57 s |
Is 73017 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 (73017 ÷ 3 = 24339) | 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 2) | 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 | Yes (73017 ÷ 7 = 10431) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73017 ÷ 9 = 8113) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73017 a prime number?
No. 73017 = × 7 × 19 × 61, so it is divisible by 3.
What are the factors of 73017?
1, 3, 7, 9, 19, 21, 57, 61, 63, 133, 171, 183, 399, 427, 549, 1159, 1197, 1281, 3477, 3843, 8113, 10431, 24339, 73017.
What is 73017 in binary?
10001110100111001 (hexadecimal 11D39, octal 216471).
What is the square root of 73017?
About 270.2166, exactly 3√8113.
Is 73017 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73017?
It is a composite number with 24 divisors.