The number 5673
5673 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 61. Divisors (8): 1, 3, 31, 61, 93, 183, 1891, 5673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5673 is composite. Its prime factorisation is
- 3
The divisors add up to 7936; without 5673 itself that is 2263, so 5673 is deficient (2263 is less than 5673). Euler's totient φ(5673) = 3600 numbers up to 5673 share no factor with it.
- 4
The digits of 5673 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5673 = 3 \times 31 \times 61 \]
5673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7936 |
| Euler totient φ(n) | 3600 |
| Square | 32182929 |
| Cube | 182573756217 |
| Square root | 75.319320 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 204 |
| Scientific notation | 5.673 × |
5673 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and seventy-three |
| Binary (base 2) | 1011000101001 |
| Octal (base 8) | 13051 |
| Hexadecimal (base 16) | 1629 |
| Base 3 | 21210010 |
| As time | 5673 seconds = 1 h 34 min 33 s |
Is 5673 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 | Yes (5673 ÷ 3 = 1891) | 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 3) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5673 a prime number?
No. 5673 = 3 × 31 × 61, so it is divisible by 3.
What are the factors of 5673?
1, 3, 31, 61, 93, 183, 1891, 5673.
What is 5673 in binary?
1011000101001 (hexadecimal 1629, octal 13051).
What is the square root of 5673?
About 75.3193.
Is 5673 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5673?
It is a composite number with 8 divisors.