The number 77935
77935 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 13 × 109. Divisors (16): 1, 5, 11, 13, 55, 65, 109, 143, 545, 715, 1199, 1417, 5995, 7085, 15587, 77935.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77935 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77935 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 77935 itself that is 32945, so 77935 is deficient (32945 is less than 77935). Euler's totient φ(77935) = 51840 numbers up to 77935 share no factor with it.
- 4
The digits of 77935 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77935 = 5 \times 11 \times 13 \times 109 \]
77935 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 51840 |
| Square | 6073864225 |
| Cube | 473366608375375 |
| Square root | 279.168408 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 7.7935 × |
77935 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and thirty-five |
| Binary (base 2) | 10011000001101111 |
| Octal (base 8) | 230157 |
| Hexadecimal (base 16) | 1306F |
| Base 3 | 10221220111 |
| As time | 77935 seconds = 21 h 38 min 55 s |
Is 77935 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 1) | 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 | Yes (77935 ÷ 5 = 15587) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77935 ÷ 11 = 7085) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77935 a prime number?
No. 77935 = 5 × 11 × 13 × 109, so it is divisible by 5.
What are the factors of 77935?
1, 5, 11, 13, 55, 65, 109, 143, 545, 715, 1199, 1417, 5995, 7085, 15587, 77935.
What is 77935 in binary?
10011000001101111 (hexadecimal 1306F, octal 230157).
What is the square root of 77935?
About 279.1684.
Is 77935 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77935?
It is a composite number with 16 divisors.