The number 73016
73016 is a composite number with 8 divisors. Its prime factorisation is × 9127. Divisors (8): 1, 2, 4, 8, 9127, 18254, 36508, 73016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73016 is composite. Its prime factorisation is
- 3
The divisors add up to 136920; without 73016 itself that is 63904, so 73016 is deficient (63904 is less than 73016). Euler's totient φ(73016) = 36504 numbers up to 73016 share no factor with it.
- 4
The digits of 73016 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73016 = 2^{3} \times 9127 \]73016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 136920 |
| Euler totient φ(n) | 36504 |
| Square | 5331336256 |
| Cube | 389272848068096 |
| Square root | 270.214729 (= 2√18254) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3016 × |
73016 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and sixteen |
| Binary (base 2) | 10001110100111000 |
| Octal (base 8) | 216470 |
| Hexadecimal (base 16) | 11D38 |
| Base 3 | 10201011022 |
| As time | 73016 seconds = 20 h 16 min 56 s |
Is 73016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73016 ÷ 2 = 36508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73016 ÷ 4 = 18254) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (73016 ÷ 8 = 9127) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73016 a prime number?
No. 73016 = × 9127, so it is divisible by 2.
What are the factors of 73016?
1, 2, 4, 8, 9127, 18254, 36508, 73016.
What is 73016 in binary?
10001110100111000 (hexadecimal 11D38, octal 216470).
What is the square root of 73016?
About 270.2147, exactly 2√18254.
Is 73016 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73016?
It is a composite number with 8 divisors.