The number 12673
12673 is a composite number with 8 divisors. Its prime factorisation is 19 × 23 × 29. Divisors (8): 1, 19, 23, 29, 437, 551, 667, 12673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12673: a Harshad number: divisible by its digit sum 19.
- 2
12673 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 12673 itself that is 1727, so 12673 is deficient (1727 is less than 12673). Euler's totient φ(12673) = 11088 numbers up to 12673 share no factor with it.
- 4
The digits of 12673 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12673 = 19 \times 23 \times 29 \]
12673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 11088 |
| Square | 160604929 |
| Cube | 2035346265217 |
| Square root | 112.574420 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2673 × |
12673 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand six hundred and seventy-three |
| Binary (base 2) | 11000110000001 |
| Octal (base 8) | 30601 |
| Hexadecimal (base 16) | 3181 |
| Base 3 | 122101101 |
| As time | 12673 seconds = 3 h 31 min 13 s |
Is 12673 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 3) | 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 1) | 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 12673 a prime number?
No. 12673 = 19 × 23 × 29, so it is divisible by 19.
What are the factors of 12673?
1, 19, 23, 29, 437, 551, 667, 12673.
What is 12673 in binary?
11000110000001 (hexadecimal 3181, octal 30601).
What is the square root of 12673?
About 112.5744.
Is 12673 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 12673?
12673 is a Harshad number: divisible by its digit sum 19.