The number 77836
77836 is a composite number with 24 divisors. Its prime factorisation is × 11 × 29 × 61. Divisors (24): 1, 2, 4, 11, 22, 29, 44, 58, 61, 116, 122, 244, 319, 638, 671, 1276 … 77836.
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How to work it out
- 1
77836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77836 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 77836 itself that is 78404, so 77836 is abundant (78404 is more than 77836). Euler's totient φ(77836) = 33600 numbers up to 77836 share no factor with it.
- 4
The digits of 77836 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77836 = 2^{2} \times 11 \times 29 \times 61 \]77836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 33600 |
| Square | 6058442896 |
| Cube | 471564961253056 |
| Square root | 278.991039 (= 2√19459) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7836 × |
77836 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and thirty-six |
| Binary (base 2) | 10011000000001100 |
| Octal (base 8) | 230014 |
| Hexadecimal (base 16) | 1300C |
| Base 3 | 10221202211 |
| As time | 77836 seconds = 21 h 37 min 16 s |
Is 77836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77836 ÷ 2 = 38918) | 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 (77836 ÷ 4 = 19459) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (77836 ÷ 11 = 7076) | 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 77836 a prime number?
No. 77836 = × 11 × 29 × 61, so it is divisible by 2.
What are the factors of 77836?
1, 2, 4, 11, 22, 29, 44, 58, 61, 116, 122, 244, 319, 638, 671, 1276, 1342, 1769, 2684, 3538, 7076, 19459, 38918, 77836.
What is 77836 in binary?
10011000000001100 (hexadecimal 1300C, octal 230014).
What is the square root of 77836?
About 278.9910, exactly 2√19459.
Is 77836 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77836?
It is a composite number with 24 divisors.