The number 10673
10673 is a composite number with 4 divisors. Its prime factorisation is 13 × 821. Divisors (4): 1, 13, 821, 10673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10673: a semiprime: 13 × 821, the product of two primes.
- 2
10673 is composite. Its prime factorisation is
- 3
The divisors add up to 11508; without 10673 itself that is 835, so 10673 is deficient (835 is less than 10673). Euler's totient φ(10673) = 9840 numbers up to 10673 share no factor with it.
- 4
The digits of 10673 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10673 = 13 \times 821 \]
10673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11508 |
| Euler totient φ(n) | 9840 |
| Square | 113912929 |
| Cube | 1215792691217 |
| Square root | 103.310212 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0673 × |
10673 in other forms
| Form | Value |
|---|---|
| In words | ten thousand six hundred and seventy-three |
| Binary (base 2) | 10100110110001 |
| Octal (base 8) | 24661 |
| Hexadecimal (base 16) | 29B1 |
| Base 3 | 112122022 |
| As time | 10673 seconds = 2 h 57 min 53 s |
Is 10673 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10673 a prime number?
No. 10673 = 13 × 821, so it is divisible by 13.
What are the factors of 10673?
1, 13, 821, 10673.
What is 10673 in binary?
10100110110001 (hexadecimal 29B1, octal 24661).
What is the square root of 10673?
About 103.3102.
Is 10673 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10673?
10673 is a semiprime: 13 × 821, the product of two primes.