The number 73736
73736 is a composite number with 16 divisors. Its prime factorisation is × 13 × 709. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 709, 1418, 2836, 5672, 9217, 18434, 36868, 73736.
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How to work it out
- 1
What is special about 73736: a Harshad number: divisible by its digit sum 26.
- 2
73736 is composite. Its prime factorisation is
- 3
The divisors add up to 149100; without 73736 itself that is 75364, so 73736 is abundant (75364 is more than 73736). Euler's totient φ(73736) = 33984 numbers up to 73736 share no factor with it.
- 4
The digits of 73736 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73736 = 2^{3} \times 13 \times 709 \]73736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149100 |
| Euler totient φ(n) | 33984 |
| Square | 5436997696 |
| Cube | 400902462112256 |
| Square root | 271.543735 (= 2√18434) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3736 × |
73736 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and thirty-six |
| Binary (base 2) | 10010000000001000 |
| Octal (base 8) | 220010 |
| Hexadecimal (base 16) | 12008 |
| Base 3 | 10202010222 |
| As time | 73736 seconds = 20 h 28 min 56 s |
Is 73736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73736 ÷ 2 = 36868) | 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 (73736 ÷ 4 = 18434) | 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 5) | 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 (73736 ÷ 8 = 9217) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 73736 a prime number?
No. 73736 = × 13 × 709, so it is divisible by 2.
What are the factors of 73736?
1, 2, 4, 8, 13, 26, 52, 104, 709, 1418, 2836, 5672, 9217, 18434, 36868, 73736.
What is 73736 in binary?
10010000000001000 (hexadecimal 12008, octal 220010).
What is the square root of 73736?
About 271.5437, exactly 2√18434.
Is 73736 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73736?
73736 is a Harshad number: divisible by its digit sum 26.