The number 73216
73216 is a composite number with 40 divisors. Its prime factorisation is × 11 × 13. Divisors (40): 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128 … 73216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73216 is composite. Its prime factorisation is
- 3
The divisors add up to 171864; without 73216 itself that is 98648, so 73216 is abundant (98648 is more than 73216). Euler's totient φ(73216) = 30720 numbers up to 73216 share no factor with it.
- 4
The digits of 73216 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73216 = 2^{9} \times 11 \times 13 \]73216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 171864 |
| Euler totient φ(n) | 30720 |
| Square | 5360582656 |
| Cube | 392480419741696 |
| Square root | 270.584552 (= 16√286) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3216 × |
73216 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and sixteen |
| Binary (base 2) | 10001111000000000 |
| Octal (base 8) | 217000 |
| Hexadecimal (base 16) | 11E00 |
| Base 3 | 10201102201 |
| As time | 73216 seconds = 20 h 20 min 16 s |
Is 73216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73216 ÷ 2 = 36608) | 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 (73216 ÷ 4 = 18304) | 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 | No (remainder 3) | 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 (73216 ÷ 8 = 9152) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (73216 ÷ 11 = 6656) | 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 73216 a prime number?
No. 73216 = × 11 × 13, so it is divisible by 2.
What are the factors of 73216?
1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 256, 286, 352, 416, 512, 572, 704, 832, 1144, 1408, 1664, 2288, 2816, 3328, 4576, 5632, 6656, 9152, 18304, 36608, 73216.
What is 73216 in binary?
10001111000000000 (hexadecimal 11E00, octal 217000).
What is the square root of 73216?
About 270.5846, exactly 16√286.
Is 73216 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73216?
It is a composite number with 40 divisors.