The number 40017
40017 is a composite number with 4 divisors. Its prime factorisation is 3 × 13339. Divisors (4): 1, 3, 13339, 40017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40017: a semiprime: 3 × 13339, the product of two primes.
- 2
40017 is composite. Its prime factorisation is
- 3
The divisors add up to 53360; without 40017 itself that is 13343, so 40017 is deficient (13343 is less than 40017). Euler's totient φ(40017) = 26676 numbers up to 40017 share no factor with it.
- 4
The digits of 40017 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40017 = 3 \times 13339 \]
40017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 53360 |
| Euler totient φ(n) | 26676 |
| Square | 1601360289 |
| Cube | 64081634684913 |
| Square root | 200.042495 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0017 × |
40017 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventeen |
| Binary (base 2) | 1001110001010001 |
| Octal (base 8) | 116121 |
| Hexadecimal (base 16) | 9C51 |
| Base 3 | 2000220010 |
| As time | 40017 seconds = 11 h 6 min 57 s |
Is 40017 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 (40017 ÷ 3 = 13339) | 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 5) | 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 10) | 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 40017 a prime number?
No. 40017 = 3 × 13339, so it is divisible by 3.
What are the factors of 40017?
1, 3, 13339, 40017.
What is 40017 in binary?
1001110001010001 (hexadecimal 9C51, octal 116121).
What is the square root of 40017?
About 200.0425.
Is 40017 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40017?
40017 is a semiprime: 3 × 13339, the product of two primes.