The number 77331
77331 is a composite number with 8 divisors. Its prime factorisation is 3 × 149 × 173. Divisors (8): 1, 3, 149, 173, 447, 519, 25777, 77331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77331 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77331 is composite. Its prime factorisation is
- 3
The divisors add up to 104400; without 77331 itself that is 27069, so 77331 is deficient (27069 is less than 77331). Euler's totient φ(77331) = 50912 numbers up to 77331 share no factor with it.
- 4
The digits of 77331 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77331 = 3 \times 149 \times 173 \]
77331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104400 |
| Euler totient φ(n) | 50912 |
| Square | 5980083561 |
| Cube | 462445841855691 |
| Square root | 278.084520 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7331 × |
77331 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and thirty-one |
| Binary (base 2) | 10010111000010011 |
| Octal (base 8) | 227023 |
| Hexadecimal (base 16) | 12E13 |
| Base 3 | 10221002010 |
| As time | 77331 seconds = 21 h 28 min 51 s |
Is 77331 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 (77331 ÷ 3 = 25777) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77331 a prime number?
No. 77331 = 3 × 149 × 173, so it is divisible by 3.
What are the factors of 77331?
1, 3, 149, 173, 447, 519, 25777, 77331.
What is 77331 in binary?
10010111000010011 (hexadecimal 12E13, octal 227023).
What is the square root of 77331?
About 278.0845.
Is 77331 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77331?
It is a composite number with 8 divisors.