The number 4167
4167 is a composite number with 6 divisors. Its prime factorisation is × 463. Divisors (6): 1, 3, 9, 463, 1389, 4167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4167 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4167 is composite. Its prime factorisation is
- 3
The divisors add up to 6032; without 4167 itself that is 1865, so 4167 is deficient (1865 is less than 4167). Euler's totient φ(4167) = 2772 numbers up to 4167 share no factor with it.
- 4
The digits of 4167 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 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4167 = 3^{2} \times 463 \]4167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6032 |
| Euler totient φ(n) | 2772 |
| Square | 17363889 |
| Cube | 72355325463 |
| Square root | 64.552304 (= 3√463) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 113 |
| Scientific notation | 4.167 × |
4167 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and sixty-seven |
| Binary (base 2) | 1000001000111 |
| Octal (base 8) | 10107 |
| Hexadecimal (base 16) | 1047 |
| Base 3 | 12201100 |
| As time | 4167 seconds = 1 h 9 min 27 s |
Is 4167 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 (4167 ÷ 3 = 1389) | 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 2) | 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 (4167 ÷ 9 = 463) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 4167 a prime number?
No. 4167 = × 463, so it is divisible by 3.
What are the factors of 4167?
1, 3, 9, 463, 1389, 4167.
What is 4167 in binary?
1000001000111 (hexadecimal 1047, octal 10107).
What is the square root of 4167?
About 64.5523, exactly 3√463.
Is 4167 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4167?
It is a composite number with 6 divisors.