The number 73436
73436 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1669. Divisors (12): 1, 2, 4, 11, 22, 44, 1669, 3338, 6676, 18359, 36718, 73436.
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How to work it out
- 1
73436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73436 is composite. Its prime factorisation is
- 3
The divisors add up to 140280; without 73436 itself that is 66844, so 73436 is deficient (66844 is less than 73436). Euler's totient φ(73436) = 33360 numbers up to 73436 share no factor with it.
- 4
The digits of 73436 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
\[ 73436 = 2^{2} \times 11 \times 1669 \]73436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 140280 |
| Euler totient φ(n) | 33360 |
| Square | 5392846096 |
| Cube | 396029045905856 |
| Square root | 270.990775 (= 2√18359) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3436 × |
73436 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and thirty-six |
| Binary (base 2) | 10001111011011100 |
| Octal (base 8) | 217334 |
| Hexadecimal (base 16) | 11EDC |
| Base 3 | 10201201212 |
| As time | 73436 seconds = 20 h 23 min 56 s |
Is 73436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73436 ÷ 2 = 36718) | 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 (73436 ÷ 4 = 18359) | 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 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 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 | Yes (73436 ÷ 11 = 6676) | 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 73436 a prime number?
No. 73436 = × 11 × 1669, so it is divisible by 2.
What are the factors of 73436?
1, 2, 4, 11, 22, 44, 1669, 3338, 6676, 18359, 36718, 73436.
What is 73436 in binary?
10001111011011100 (hexadecimal 11EDC, octal 217334).
What is the square root of 73436?
About 270.9908, exactly 2√18359.
Is 73436 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73436?
It is a composite number with 12 divisors.