The number 77744
77744 is a composite number with 20 divisors. Its prime factorisation is × 43 × 113. Divisors (20): 1, 2, 4, 8, 16, 43, 86, 113, 172, 226, 344, 452, 688, 904, 1808, 4859 … 77744.
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How to work it out
- 1
77744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77744 is composite. Its prime factorisation is
- 3
The divisors add up to 155496; without 77744 itself that is 77752, so 77744 is abundant (77752 is more than 77744). Euler's totient φ(77744) = 37632 numbers up to 77744 share no factor with it.
- 4
The digits of 77744 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77744 = 2^{4} \times 43 \times 113 \]77744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 155496 |
| Euler totient φ(n) | 37632 |
| Square | 6044129536 |
| Cube | 469894806646784 |
| Square root | 278.826111 (= 4√4859) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7744 × |
77744 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and forty-four |
| Binary (base 2) | 10010111110110000 |
| Octal (base 8) | 227660 |
| Hexadecimal (base 16) | 12FB0 |
| Base 3 | 10221122102 |
| As time | 77744 seconds = 21 h 35 min 44 s |
Is 77744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77744 ÷ 2 = 38872) | 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 (77744 ÷ 4 = 19436) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (77744 ÷ 8 = 9718) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 77744 a prime number?
No. 77744 = × 43 × 113, so it is divisible by 2.
What are the factors of 77744?
1, 2, 4, 8, 16, 43, 86, 113, 172, 226, 344, 452, 688, 904, 1808, 4859, 9718, 19436, 38872, 77744.
What is 77744 in binary?
10010111110110000 (hexadecimal 12FB0, octal 227660).
What is the square root of 77744?
About 278.8261, exactly 4√4859.
Is 77744 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77744?
It is a composite number with 20 divisors.