The number 77341
77341 is a composite number with 8 divisors. Its prime factorisation is 11 × 79 × 89. Divisors (8): 1, 11, 79, 89, 869, 979, 7031, 77341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77341 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77341 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 77341 itself that is 9059, so 77341 is deficient (9059 is less than 77341). Euler's totient φ(77341) = 68640 numbers up to 77341 share no factor with it.
- 4
The digits of 77341 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77341 = 11 \times 79 \times 89 \]
77341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 68640 |
| Square | 5981630281 |
| Cube | 462625267562821 |
| Square root | 278.102499 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7341 × |
77341 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and forty-one |
| Binary (base 2) | 10010111000011101 |
| Octal (base 8) | 227035 |
| Hexadecimal (base 16) | 12E1D |
| Base 3 | 10221002111 |
| As time | 77341 seconds = 21 h 29 min 1 s |
Is 77341 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77341 ÷ 11 = 7031) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77341 a prime number?
No. 77341 = 11 × 79 × 89, so it is divisible by 11.
What are the factors of 77341?
1, 11, 79, 89, 869, 979, 7031, 77341.
What is 77341 in binary?
10010111000011101 (hexadecimal 12E1D, octal 227035).
What is the square root of 77341?
About 278.1025.
Is 77341 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77341?
It is a composite number with 8 divisors.