The number 73711
73711 is a composite number with 4 divisors. Its prime factorisation is 11 × 6701. Divisors (4): 1, 11, 6701, 73711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73711: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6701, the product of two primes.
- 2
73711 is composite. Its prime factorisation is
- 3
The divisors add up to 80424; without 73711 itself that is 6713, so 73711 is deficient (6713 is less than 73711). Euler's totient φ(73711) = 67000 numbers up to 73711 share no factor with it.
- 4
The digits of 73711 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73711 = 11 \times 6701 \]
73711 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 80424 |
| Euler totient φ(n) | 67000 |
| Square | 5433311521 |
| Cube | 400494825524431 |
| Square root | 271.497698 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.3711 × |
73711 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and eleven |
| Binary (base 2) | 10001111111101111 |
| Octal (base 8) | 217757 |
| Hexadecimal (base 16) | 11FEF |
| Base 3 | 10202010001 |
| As time | 73711 seconds = 20 h 28 min 31 s |
Is 73711 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 | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73711 ÷ 11 = 6701) | 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 73711 a prime number?
No. 73711 = 11 × 6701, so it is divisible by 11.
What are the factors of 73711?
1, 11, 6701, 73711.
What is 73711 in binary?
10001111111101111 (hexadecimal 11FEF, octal 217757).
What is the square root of 73711?
About 271.4977.
Is 73711 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73711?
73711 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6701, the product of two primes.