The number 77361
77361 is a composite number with 8 divisors. Its prime factorisation is 3 × 107 × 241. Divisors (8): 1, 3, 107, 241, 321, 723, 25787, 77361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77361 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77361 is composite. Its prime factorisation is
- 3
The divisors add up to 104544; without 77361 itself that is 27183, so 77361 is deficient (27183 is less than 77361). Euler's totient φ(77361) = 50880 numbers up to 77361 share no factor with it.
- 4
The digits of 77361 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77361 = 3 \times 107 \times 241 \]
77361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104544 |
| Euler totient φ(n) | 50880 |
| Square | 5984724321 |
| Cube | 462984258196881 |
| Square root | 278.138455 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7361 × |
77361 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and sixty-one |
| Binary (base 2) | 10010111000110001 |
| Octal (base 8) | 227061 |
| Hexadecimal (base 16) | 12E31 |
| Base 3 | 10221010020 |
| As time | 77361 seconds = 21 h 29 min 21 s |
Is 77361 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 | Yes (77361 ÷ 3 = 25787) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77361 a prime number?
No. 77361 = 3 × 107 × 241, so it is divisible by 3.
What are the factors of 77361?
1, 3, 107, 241, 321, 723, 25787, 77361.
What is 77361 in binary?
10010111000110001 (hexadecimal 12E31, octal 227061).
What is the square root of 77361?
About 278.1385.
Is 77361 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77361?
It is a composite number with 8 divisors.