The number 77738
77738 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 827. Divisors (8): 1, 2, 47, 94, 827, 1654, 38869, 77738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77738 is composite. Its prime factorisation is
- 3
The divisors add up to 119232; without 77738 itself that is 41494, so 77738 is deficient (41494 is less than 77738). Euler's totient φ(77738) = 37996 numbers up to 77738 share no factor with it.
- 4
The digits of 77738 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77738 = 2 \times 47 \times 827 \]
77738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 119232 |
| Euler totient φ(n) | 37996 |
| Square | 6043196644 |
| Cube | 469786020711272 |
| Square root | 278.815351 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7738 × |
77738 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and thirty-eight |
| Binary (base 2) | 10010111110101010 |
| Octal (base 8) | 227652 |
| Hexadecimal (base 16) | 12FAA |
| Base 3 | 10221122012 |
| As time | 77738 seconds = 21 h 35 min 38 s |
Is 77738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77738 ÷ 2 = 38869) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77738 a prime number?
No. 77738 = 2 × 47 × 827, so it is divisible by 2.
What are the factors of 77738?
1, 2, 47, 94, 827, 1654, 38869, 77738.
What is 77738 in binary?
10010111110101010 (hexadecimal 12FAA, octal 227652).
What is the square root of 77738?
About 278.8154.
Is 77738 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77738?
It is a composite number with 8 divisors.