The number 77035
77035 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 31 × 71. Divisors (16): 1, 5, 7, 31, 35, 71, 155, 217, 355, 497, 1085, 2201, 2485, 11005, 15407, 77035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77035 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77035 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 77035 itself that is 33557, so 77035 is deficient (33557 is less than 77035). Euler's totient φ(77035) = 50400 numbers up to 77035 share no factor with it.
- 4
The digits of 77035 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77035 = 5 \times 7 \times 31 \times 71 \]
77035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 50400 |
| Square | 5934391225 |
| Cube | 457155828017875 |
| Square root | 277.551797 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.7035 × |
77035 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and thirty-five |
| Binary (base 2) | 10010110011101011 |
| Octal (base 8) | 226353 |
| Hexadecimal (base 16) | 12CEB |
| Base 3 | 10220200011 |
| As time | 77035 seconds = 21 h 23 min 55 s |
Is 77035 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 (77035 ÷ 5 = 15407) | 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 | Yes (77035 ÷ 7 = 11005) | 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 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 | No (remainder 2) | 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 77035 a prime number?
No. 77035 = 5 × 7 × 31 × 71, so it is divisible by 5.
What are the factors of 77035?
1, 5, 7, 31, 35, 71, 155, 217, 355, 497, 1085, 2201, 2485, 11005, 15407, 77035.
What is 77035 in binary?
10010110011101011 (hexadecimal 12CEB, octal 226353).
What is the square root of 77035?
About 277.5518.
Is 77035 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77035?
It is a composite number with 16 divisors.