The number 8173
8173 is a composite number with 4 divisors. Its prime factorisation is 11 × 743. Divisors (4): 1, 11, 743, 8173.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8173: a semiprime: 11 × 743, the product of two primes.
- 2
8173 is composite. Its prime factorisation is
- 3
The divisors add up to 8928; without 8173 itself that is 755, so 8173 is deficient (755 is less than 8173). Euler's totient φ(8173) = 7420 numbers up to 8173 share no factor with it.
- 4
The digits of 8173 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8173 = 11 \times 743 \]
8173 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8928 |
| Euler totient φ(n) | 7420 |
| Square | 66797929 |
| Cube | 545939473717 |
| Square root | 90.404646 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.173 × |
8173 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and seventy-three |
| Binary (base 2) | 1111111101101 |
| Octal (base 8) | 17755 |
| Hexadecimal (base 16) | 1FED |
| Base 3 | 102012201 |
| As time | 8173 seconds = 2 h 16 min 13 s |
Is 8173 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 4) | 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 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 | Yes (8173 ÷ 11 = 743) | 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 8173 a prime number?
No. 8173 = 11 × 743, so it is divisible by 11.
What are the factors of 8173?
1, 11, 743, 8173.
What is 8173 in binary?
1111111101101 (hexadecimal 1FED, octal 17755).
What is the square root of 8173?
About 90.4046.
Is 8173 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8173?
8173 is a semiprime: 11 × 743, the product of two primes.