The number 73836
73836 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 293. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 73836.
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How to work it out
- 1
What is special about 73836: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73836 is composite. Its prime factorisation is
- 3
The divisors add up to 214032; without 73836 itself that is 140196, so 73836 is abundant (140196 is more than 73836). Euler's totient φ(73836) = 21024 numbers up to 73836 share no factor with it.
- 4
The digits of 73836 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73836 = 2^{2} \times 3^{2} \times 7 \times 293 \]73836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 214032 |
| Euler totient φ(n) | 21024 |
| Square | 5451754896 |
| Cube | 402535774501056 |
| Square root | 271.727805 (= 6√2051) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.3836 × |
73836 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and thirty-six |
| Binary (base 2) | 10010000001101100 |
| Octal (base 8) | 220154 |
| Hexadecimal (base 16) | 1206C |
| Base 3 | 10202021200 |
| As time | 73836 seconds = 20 h 30 min 36 s |
Is 73836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73836 ÷ 2 = 36918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73836 ÷ 3 = 24612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73836 ÷ 4 = 18459) | 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 | Yes (73836 ÷ 6 = 12306) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73836 ÷ 7 = 10548) | 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 | Yes (73836 ÷ 9 = 8204) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73836 ÷ 12 = 6153) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73836 a prime number?
No. 73836 = × × 7 × 293, so it is divisible by 2.
What are the factors of 73836?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 293, 586, 879, 1172, 1758, 2051, 2637, 3516, 4102, 5274, 6153, 8204, 10548, 12306, 18459, 24612, 36918, 73836.
What is 73836 in binary?
10010000001101100 (hexadecimal 1206C, octal 220154).
What is the square root of 73836?
About 271.7278, exactly 6√2051.
Is 73836 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73836?
73836 is a happy number: repeatedly adding the squares of its digits reaches 1.