The number 4173
4173 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 107. Divisors (8): 1, 3, 13, 39, 107, 321, 1391, 4173.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4173 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4173 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 4173 itself that is 1875, so 4173 is deficient (1875 is less than 4173). Euler's totient φ(4173) = 2544 numbers up to 4173 share no factor with it.
- 4
The digits of 4173 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4173 = 3 \times 13 \times 107 \]
4173 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 2544 |
| Square | 17413929 |
| Cube | 72668325717 |
| Square root | 64.598762 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.173 × |
4173 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and seventy-three |
| Binary (base 2) | 1000001001101 |
| Octal (base 8) | 10115 |
| Hexadecimal (base 16) | 104D |
| Base 3 | 12201120 |
| As time | 4173 seconds = 1 h 9 min 33 s |
Is 4173 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 (4173 ÷ 3 = 1391) | 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 1) | 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 6) | 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 4) | 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 4173 a prime number?
No. 4173 = 3 × 13 × 107, so it is divisible by 3.
What are the factors of 4173?
1, 3, 13, 39, 107, 321, 1391, 4173.
What is 4173 in binary?
1000001001101 (hexadecimal 104D, octal 10115).
What is the square root of 4173?
About 64.5988.
Is 4173 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4173?
It is a composite number with 8 divisors.