The number 77909
77909 is a composite number with 6 divisors. Its prime factorisation is Ć 461. Divisors (6): 1, 13, 169, 461, 5993, 77909.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77909 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77909 is composite. Its prime factorisation is
- 3
The divisors add up to 84546; without 77909 itself that is 6637, so 77909 is deficient (6637 is less than 77909). Euler's totient Ļ(77909) = 71760 numbers up to 77909 share no factor with it.
- 4
The digits of 77909 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77909 = 13^{2} \times 461 \]77909 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 84546 |
| Euler totient Ļ(n) | 71760 |
| Square | 6069812281 |
| Cube | 472893005000429 |
| Square root | 279.121837 (= 13ā461) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7909 Ć |
77909 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and nine |
| Binary (base 2) | 10011000001010101 |
| Octal (base 8) | 230125 |
| Hexadecimal (base 16) | 13055 |
| Base 3 | 10221212112 |
| As time | 77909 seconds = 21 h 38 min 29 s |
Is 77909 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 6) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77909 a prime number?
No. 77909 = Ć 461, so it is divisible by 13.
What are the factors of 77909?
1, 13, 169, 461, 5993, 77909.
What is 77909 in binary?
10011000001010101 (hexadecimal 13055, octal 230125).
What is the square root of 77909?
About 279.1218, exactly 13ā461.
Is 77909 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77909?
It is a composite number with 6 divisors.