The number 77844
77844 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 499. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 499, 998, 1497, 1996 … 77844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77844 is composite. Its prime factorisation is
- 3
The divisors add up to 196000; without 77844 itself that is 118156, so 77844 is abundant (118156 is more than 77844). Euler's totient φ(77844) = 23904 numbers up to 77844 share no factor with it.
- 4
The digits of 77844 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77844 = 2^{2} \times 3 \times 13 \times 499 \]77844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 196000 |
| Euler totient φ(n) | 23904 |
| Square | 6059688336 |
| Cube | 471710378827584 |
| Square root | 279.005376 (= 2√19461) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7844 × |
77844 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and forty-four |
| Binary (base 2) | 10011000000010100 |
| Octal (base 8) | 230024 |
| Hexadecimal (base 16) | 13014 |
| Base 3 | 10221210010 |
| As time | 77844 seconds = 21 h 37 min 24 s |
Is 77844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77844 ÷ 2 = 38922) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77844 ÷ 3 = 25948) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77844 ÷ 4 = 19461) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77844 ÷ 6 = 12974) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (77844 ÷ 12 = 6487) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77844 a prime number?
No. 77844 = × 3 × 13 × 499, so it is divisible by 2.
What are the factors of 77844?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 499, 998, 1497, 1996, 2994, 5988, 6487, 12974, 19461, 25948, 38922, 77844.
What is 77844 in binary?
10011000000010100 (hexadecimal 13014, octal 230024).
What is the square root of 77844?
About 279.0054, exactly 2√19461.
Is 77844 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77844?
It is a composite number with 24 divisors.