The number 77701
77701 is a composite number with 8 divisors. Its prime factorisation is 13 × 43 × 139. Divisors (8): 1, 13, 43, 139, 559, 1807, 5977, 77701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77701 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77701 is composite. Its prime factorisation is
- 3
The divisors add up to 86240; without 77701 itself that is 8539, so 77701 is deficient (8539 is less than 77701). Euler's totient φ(77701) = 69552 numbers up to 77701 share no factor with it.
- 4
The digits of 77701 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77701 = 13 \times 43 \times 139 \]
77701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86240 |
| Euler totient φ(n) | 69552 |
| Square | 6037445401 |
| Cube | 469115545103101 |
| Square root | 278.748991 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7701 × |
77701 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and one |
| Binary (base 2) | 10010111110000101 |
| Octal (base 8) | 227605 |
| Hexadecimal (base 16) | 12F85 |
| Base 3 | 10221120211 |
| As time | 77701 seconds = 21 h 35 min 1 s |
Is 77701 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 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 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77701 a prime number?
No. 77701 = 13 × 43 × 139, so it is divisible by 13.
What are the factors of 77701?
1, 13, 43, 139, 559, 1807, 5977, 77701.
What is 77701 in binary?
10010111110000101 (hexadecimal 12F85, octal 227605).
What is the square root of 77701?
About 278.7490.
Is 77701 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77701?
It is a composite number with 8 divisors.