The number 77330
77330 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 11 × 19 × 37. Divisors (32): 1, 2, 5, 10, 11, 19, 22, 37, 38, 55, 74, 95, 110, 185, 190, 209 … 77330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77330 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77330 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 77330 itself that is 86830, so 77330 is abundant (86830 is more than 77330). Euler's totient φ(77330) = 25920 numbers up to 77330 share no factor with it.
- 4
The digits of 77330 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
\[ 77330 = 2 \times 5 \times 11 \times 19 \times 37 \]
77330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 25920 |
| Square | 5979928900 |
| Cube | 462427901837000 |
| Square root | 278.082722 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.733 × |
77330 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and thirty |
| Binary (base 2) | 10010111000010010 |
| Octal (base 8) | 227022 |
| Hexadecimal (base 16) | 12E12 |
| Base 3 | 10221002002 |
| As time | 77330 seconds = 21 h 28 min 50 s |
Is 77330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77330 ÷ 2 = 38665) | 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 | Yes (77330 ÷ 5 = 15466) | 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 1) | 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 2) | 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 | Yes (77330 ÷ 10 = 7733) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77330 ÷ 11 = 7030) | 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 77330 a prime number?
No. 77330 = 2 × 5 × 11 × 19 × 37, so it is divisible by 2.
What are the factors of 77330?
1, 2, 5, 10, 11, 19, 22, 37, 38, 55, 74, 95, 110, 185, 190, 209, 370, 407, 418, 703, 814, 1045, 1406, 2035, 2090, 3515, 4070, 7030, 7733, 15466, 38665, 77330.
What is 77330 in binary?
10010111000010010 (hexadecimal 12E12, octal 227022).
What is the square root of 77330?
About 278.0827.
Is 77330 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77330?
It is a composite number with 32 divisors.