The number 73716
73716 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6143. Divisors (12): 1, 2, 3, 4, 6, 12, 6143, 12286, 18429, 24572, 36858, 73716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73716 is composite. Its prime factorisation is
- 3
The divisors add up to 172032; without 73716 itself that is 98316, so 73716 is abundant (98316 is more than 73716). Euler's totient φ(73716) = 24568 numbers up to 73716 share no factor with it.
- 4
The digits of 73716 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73716 = 2^{2} \times 3 \times 6143 \]73716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 172032 |
| Euler totient φ(n) | 24568 |
| Square | 5434048656 |
| Cube | 400576330725696 |
| Square root | 271.506906 (= 2√18429) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3716 × |
73716 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and sixteen |
| Binary (base 2) | 10001111111110100 |
| Octal (base 8) | 217764 |
| Hexadecimal (base 16) | 11FF4 |
| Base 3 | 10202010020 |
| As time | 73716 seconds = 20 h 28 min 36 s |
Is 73716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73716 ÷ 2 = 36858) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73716 ÷ 3 = 24572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73716 ÷ 4 = 18429) | 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 | Yes (73716 ÷ 6 = 12286) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73716 ÷ 12 = 6143) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73716 a prime number?
No. 73716 = × 3 × 6143, so it is divisible by 2.
What are the factors of 73716?
1, 2, 3, 4, 6, 12, 6143, 12286, 18429, 24572, 36858, 73716.
What is 73716 in binary?
10001111111110100 (hexadecimal 11FF4, octal 217764).
What is the square root of 73716?
About 271.5069, exactly 2√18429.
Is 73716 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73716?
It is a composite number with 12 divisors.