The number 77135
77135 is a composite number with 4 divisors. Its prime factorisation is 5 × 15427. Divisors (4): 1, 5, 15427, 77135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77135: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 15427, the product of two primes.
- 2
77135 is composite. Its prime factorisation is
- 3
The divisors add up to 92568; without 77135 itself that is 15433, so 77135 is deficient (15433 is less than 77135). Euler's totient φ(77135) = 61704 numbers up to 77135 share no factor with it.
- 4
The digits of 77135 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77135 = 5 \times 15427 \]
77135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 92568 |
| Euler totient φ(n) | 61704 |
| Square | 5949808225 |
| Cube | 458938457435375 |
| Square root | 277.731885 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7135 × |
77135 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty-five |
| Binary (base 2) | 10010110101001111 |
| Octal (base 8) | 226517 |
| Hexadecimal (base 16) | 12D4F |
| Base 3 | 10220210212 |
| As time | 77135 seconds = 21 h 25 min 35 s |
Is 77135 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77135 ÷ 5 = 15427) | 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 2) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77135 a prime number?
No. 77135 = 5 × 15427, so it is divisible by 5.
What are the factors of 77135?
1, 5, 15427, 77135.
What is 77135 in binary?
10010110101001111 (hexadecimal 12D4F, octal 226517).
What is the square root of 77135?
About 277.7319.
Is 77135 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77135?
77135 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 15427, the product of two primes.