The number 73136
73136 is a composite number with 20 divisors. Its prime factorisation is × 7 × 653. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 653, 1306, 2612, 4571, 5224, 9142 … 73136.
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How to work it out
- 1
73136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73136 is composite. Its prime factorisation is
- 3
The divisors add up to 162192; without 73136 itself that is 89056, so 73136 is abundant (89056 is more than 73136). Euler's totient φ(73136) = 31296 numbers up to 73136 share no factor with it.
- 4
The digits of 73136 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73136 = 2^{4} \times 7 \times 653 \]73136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 162192 |
| Euler totient φ(n) | 31296 |
| Square | 5348874496 |
| Cube | 391195285139456 |
| Square root | 270.436684 (= 4√4571) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3136 × |
73136 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and thirty-six |
| Binary (base 2) | 10001110110110000 |
| Octal (base 8) | 216660 |
| Hexadecimal (base 16) | 11DB0 |
| Base 3 | 10201022202 |
| As time | 73136 seconds = 20 h 18 min 56 s |
Is 73136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73136 ÷ 2 = 36568) | 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 (73136 ÷ 4 = 18284) | 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 | Yes (73136 ÷ 7 = 10448) | 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 (73136 ÷ 8 = 9142) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 73136 a prime number?
No. 73136 = × 7 × 653, so it is divisible by 2.
What are the factors of 73136?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 653, 1306, 2612, 4571, 5224, 9142, 10448, 18284, 36568, 73136.
What is 73136 in binary?
10001110110110000 (hexadecimal 11DB0, octal 216660).
What is the square root of 73136?
About 270.4367, exactly 4√4571.
Is 73136 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73136?
It is a composite number with 20 divisors.