The number 77113
77113 is a composite number with 4 divisors. Its prime factorisation is 59 × 1307. Divisors (4): 1, 59, 1307, 77113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77113: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 1307, the product of two primes.
- 2
77113 is composite. Its prime factorisation is
- 3
The divisors add up to 78480; without 77113 itself that is 1367, so 77113 is deficient (1367 is less than 77113). Euler's totient φ(77113) = 75748 numbers up to 77113 share no factor with it.
- 4
The digits of 77113 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77113 = 59 \times 1307 \]
77113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78480 |
| Euler totient φ(n) | 75748 |
| Square | 5946414769 |
| Cube | 458545882081897 |
| Square root | 277.692276 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.7113 × |
77113 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirteen |
| Binary (base 2) | 10010110100111001 |
| Octal (base 8) | 226471 |
| Hexadecimal (base 16) | 12D39 |
| Base 3 | 10220210001 |
| As time | 77113 seconds = 21 h 25 min 13 s |
Is 77113 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77113 a prime number?
No. 77113 = 59 × 1307, so it is divisible by 59.
What are the factors of 77113?
1, 59, 1307, 77113.
What is 77113 in binary?
10010110100111001 (hexadecimal 12D39, octal 226471).
What is the square root of 77113?
About 277.6923.
Is 77113 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77113?
77113 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 1307, the product of two primes.