The number 73616
73616 is a composite number with 20 divisors. Its prime factorisation is × 43 × 107. Divisors (20): 1, 2, 4, 8, 16, 43, 86, 107, 172, 214, 344, 428, 688, 856, 1712, 4601 … 73616.
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How to work it out
- 1
73616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73616 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 73616 itself that is 73696, so 73616 is abundant (73696 is more than 73616). Euler's totient φ(73616) = 35616 numbers up to 73616 share no factor with it.
- 4
The digits of 73616 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73616 = 2^{4} \times 43 \times 107 \]73616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 35616 |
| Square | 5419315456 |
| Cube | 398948326608896 |
| Square root | 271.322686 (= 4√4601) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3616 × |
73616 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and sixteen |
| Binary (base 2) | 10001111110010000 |
| Octal (base 8) | 217620 |
| Hexadecimal (base 16) | 11F90 |
| Base 3 | 10201222112 |
| As time | 73616 seconds = 20 h 26 min 56 s |
Is 73616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73616 ÷ 2 = 36808) | 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 (73616 ÷ 4 = 18404) | 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 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 (73616 ÷ 8 = 9202) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 73616 a prime number?
No. 73616 = × 43 × 107, so it is divisible by 2.
What are the factors of 73616?
1, 2, 4, 8, 16, 43, 86, 107, 172, 214, 344, 428, 688, 856, 1712, 4601, 9202, 18404, 36808, 73616.
What is 73616 in binary?
10001111110010000 (hexadecimal 11F90, octal 217620).
What is the square root of 73616?
About 271.3227, exactly 4√4601.
Is 73616 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73616?
It is a composite number with 20 divisors.