The number 73696
73696 is a composite number with 36 divisors. Its prime factorisation is × × 47. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 49, 56, 94, 98, 112, 188 … 73696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73696 is composite. Its prime factorisation is
- 3
The divisors add up to 172368; without 73696 itself that is 98672, so 73696 is abundant (98672 is more than 73696). Euler's totient φ(73696) = 30912 numbers up to 73696 share no factor with it.
- 4
The digits of 73696 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73696 = 2^{5} \times 7^{2} \times 47 \]73696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 172368 |
| Euler totient φ(n) | 30912 |
| Square | 5431100416 |
| Cube | 400250376257536 |
| Square root | 271.470072 (= 28√94) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3696 × |
73696 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and ninety-six |
| Binary (base 2) | 10001111111100000 |
| Octal (base 8) | 217740 |
| Hexadecimal (base 16) | 11FE0 |
| Base 3 | 10202002111 |
| As time | 73696 seconds = 20 h 28 min 16 s |
Is 73696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73696 ÷ 2 = 36848) | 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 (73696 ÷ 4 = 18424) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73696 ÷ 7 = 10528) | 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 (73696 ÷ 8 = 9212) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 73696 a prime number?
No. 73696 = × × 47, so it is divisible by 2.
What are the factors of 73696?
1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 49, 56, 94, 98, 112, 188, 196, 224, 329, 376, 392, 658, 752, 784, 1316, 1504, 1568, 2303, 2632, 4606, 5264, 9212, 10528, 18424, 36848, 73696.
What is 73696 in binary?
10001111111100000 (hexadecimal 11FE0, octal 217740).
What is the square root of 73696?
About 271.4701, exactly 28√94.
Is 73696 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73696?
It is a composite number with 36 divisors.