The number 1673
1673 is a composite number with 4 divisors. Its prime factorisation is 7 × 239. Divisors (4): 1, 7, 239, 1673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1673: a semiprime: 7 × 239, the product of two primes.
- 2
1673 is composite. Its prime factorisation is
- 3
The divisors add up to 1920; without 1673 itself that is 247, so 1673 is deficient (247 is less than 1673). Euler's totient φ(1673) = 1428 numbers up to 1673 share no factor with it.
- 4
The digits of 1673 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1673 = 7 \times 239 \]
1673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1920 |
| Euler totient φ(n) | 1428 |
| Square | 2798929 |
| Cube | 4682608217 |
| Square root | 40.902323 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.673 × |
1673 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and seventy-three |
| Roman numerals | MDCLXXIII |
| Binary (base 2) | 11010001001 |
| Octal (base 8) | 3211 |
| Hexadecimal (base 16) | 689 |
| Base 3 | 2021222 |
| As time | 1673 seconds = 27 min 53 s |
Is 1673 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 | Yes (1673 ÷ 7 = 239) | 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 1) | 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 1673 a prime number?
No. 1673 = 7 × 239, so it is divisible by 7.
What are the factors of 1673?
1, 7, 239, 1673.
What is 1673 in binary?
11010001001 (hexadecimal 689, octal 3211).
What is the square root of 1673?
About 40.9023.
What is 1673 in Roman numerals?
MDCLXXIII.
Is 1673 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1673?
1673 is a semiprime: 7 × 239, the product of two primes.