The number 4017
4017 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 103. Divisors (8): 1, 3, 13, 39, 103, 309, 1339, 4017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4017 is composite. Its prime factorisation is
- 3
The divisors add up to 5824; without 4017 itself that is 1807, so 4017 is deficient (1807 is less than 4017). Euler's totient φ(4017) = 2448 numbers up to 4017 share no factor with it.
- 4
The digits of 4017 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4017 = 3 \times 13 \times 103 \]
4017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5824 |
| Euler totient φ(n) | 2448 |
| Square | 16136289 |
| Cube | 64819472913 |
| Square root | 63.379808 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 25 |
| Scientific notation | 4.017 × |
4017 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventeen |
| Binary (base 2) | 111110110001 |
| Octal (base 8) | 7661 |
| Hexadecimal (base 16) | FB1 |
| Base 3 | 12111210 |
| As time | 4017 seconds = 1 h 6 min 57 s |
Is 4017 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 (4017 ÷ 3 = 1339) | 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 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 6) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 4017 a prime number?
No. 4017 = 3 × 13 × 103, so it is divisible by 3.
What are the factors of 4017?
1, 3, 13, 39, 103, 309, 1339, 4017.
What is 4017 in binary?
111110110001 (hexadecimal FB1, octal 7661).
What is the square root of 4017?
About 63.3798.
Is 4017 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4017?
It is a composite number with 8 divisors.