The number 77301
77301 is a composite number with 16 divisors. Its prime factorisation is × 7 × 409. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 409, 1227, 2863, 3681, 8589, 11043, 25767, 77301.
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How to work it out
- 1
77301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77301 is composite. Its prime factorisation is
- 3
The divisors add up to 131200; without 77301 itself that is 53899, so 77301 is deficient (53899 is less than 77301). Euler's totient φ(77301) = 44064 numbers up to 77301 share no factor with it.
- 4
The digits of 77301 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77301 = 3^{3} \times 7 \times 409 \]77301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131200 |
| Euler totient φ(n) | 44064 |
| Square | 5975444601 |
| Cube | 461907843101901 |
| Square root | 278.030574 (= 3√8589) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7301 × |
77301 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and one |
| Binary (base 2) | 10010110111110101 |
| Octal (base 8) | 226765 |
| Hexadecimal (base 16) | 12DF5 |
| Base 3 | 10221001000 |
| As time | 77301 seconds = 21 h 28 min 21 s |
Is 77301 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 (77301 ÷ 3 = 25767) | 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 | Yes (77301 ÷ 7 = 11043) | 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 | Yes (77301 ÷ 9 = 8589) | 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 4) | 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 77301 a prime number?
No. 77301 = × 7 × 409, so it is divisible by 3.
What are the factors of 77301?
1, 3, 7, 9, 21, 27, 63, 189, 409, 1227, 2863, 3681, 8589, 11043, 25767, 77301.
What is 77301 in binary?
10010110111110101 (hexadecimal 12DF5, octal 226765).
What is the square root of 77301?
About 278.0306, exactly 3√8589.
Is 77301 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77301?
It is a composite number with 16 divisors.