The number 4671
4671 is a composite number with 8 divisors. Its prime factorisation is × 173. Divisors (8): 1, 3, 9, 27, 173, 519, 1557, 4671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4671 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4671 is composite. Its prime factorisation is
- 3
The divisors add up to 6960; without 4671 itself that is 2289, so 4671 is deficient (2289 is less than 4671). Euler's totient φ(4671) = 3096 numbers up to 4671 share no factor with it.
- 4
The digits of 4671 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4671 = 3^{3} \times 173 \]4671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6960 |
| Euler totient φ(n) | 3096 |
| Square | 21818241 |
| Cube | 101913003711 |
| Square root | 68.344714 (= 3√519) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.671 × |
4671 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and seventy-one |
| Binary (base 2) | 1001000111111 |
| Octal (base 8) | 11077 |
| Hexadecimal (base 16) | 123F |
| Base 3 | 20102000 |
| As time | 4671 seconds = 1 h 17 min 51 s |
Is 4671 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 (4671 ÷ 3 = 1557) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4671 ÷ 9 = 519) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4671 a prime number?
No. 4671 = × 173, so it is divisible by 3.
What are the factors of 4671?
1, 3, 9, 27, 173, 519, 1557, 4671.
What is 4671 in binary?
1001000111111 (hexadecimal 123F, octal 11077).
What is the square root of 4671?
About 68.3447, exactly 3√519.
Is 4671 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4671?
It is a composite number with 8 divisors.