The number 77438
77438 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 1249. Divisors (8): 1, 2, 31, 62, 1249, 2498, 38719, 77438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77438 is composite. Its prime factorisation is
- 3
The divisors add up to 120000; without 77438 itself that is 42562, so 77438 is deficient (42562 is less than 77438). Euler's totient φ(77438) = 37440 numbers up to 77438 share no factor with it.
- 4
The digits of 77438 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77438 = 2 \times 31 \times 1249 \]
77438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 120000 |
| Euler totient φ(n) | 37440 |
| Square | 5996643844 |
| Cube | 464368105991672 |
| Square root | 278.276841 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7438 × |
77438 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and thirty-eight |
| Binary (base 2) | 10010111001111110 |
| Octal (base 8) | 227176 |
| Hexadecimal (base 16) | 12E7E |
| Base 3 | 10221020002 |
| As time | 77438 seconds = 21 h 30 min 38 s |
Is 77438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77438 ÷ 2 = 38719) | 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 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 77438 a prime number?
No. 77438 = 2 × 31 × 1249, so it is divisible by 2.
What are the factors of 77438?
1, 2, 31, 62, 1249, 2498, 38719, 77438.
What is 77438 in binary?
10010111001111110 (hexadecimal 12E7E, octal 227176).
What is the square root of 77438?
About 278.2768.
Is 77438 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77438?
It is a composite number with 8 divisors.