The number 77231
77231 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 17 × 59. Divisors (16): 1, 7, 11, 17, 59, 77, 119, 187, 413, 649, 1003, 1309, 4543, 7021, 11033, 77231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77231 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77231 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 77231 itself that is 26449, so 77231 is deficient (26449 is less than 77231). Euler's totient φ(77231) = 55680 numbers up to 77231 share no factor with it.
- 4
The digits of 77231 add up to 20, 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
\[ 77231 = 7 \times 11 \times 17 \times 59 \]
77231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 55680 |
| Square | 5964627361 |
| Cube | 460654135717391 |
| Square root | 277.904660 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7231 × |
77231 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and thirty-one |
| Binary (base 2) | 10010110110101111 |
| Octal (base 8) | 226657 |
| Hexadecimal (base 16) | 12DAF |
| Base 3 | 10220221102 |
| As time | 77231 seconds = 21 h 27 min 11 s |
Is 77231 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77231 ÷ 7 = 11033) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77231 ÷ 11 = 7021) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77231 a prime number?
No. 77231 = 7 × 11 × 17 × 59, so it is divisible by 7.
What are the factors of 77231?
1, 7, 11, 17, 59, 77, 119, 187, 413, 649, 1003, 1309, 4543, 7021, 11033, 77231.
What is 77231 in binary?
10010110110101111 (hexadecimal 12DAF, octal 226657).
What is the square root of 77231?
About 277.9047.
Is 77231 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77231?
It is a composite number with 16 divisors.