The number 40015
40015 is a composite number with 8 divisors. Its prime factorisation is 5 × 53 × 151. Divisors (8): 1, 5, 53, 151, 265, 755, 8003, 40015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40015 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40015 is composite. Its prime factorisation is
- 3
The divisors add up to 49248; without 40015 itself that is 9233, so 40015 is deficient (9233 is less than 40015). Euler's totient φ(40015) = 31200 numbers up to 40015 share no factor with it.
- 4
The digits of 40015 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40015 = 5 \times 53 \times 151 \]
40015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49248 |
| Euler totient φ(n) | 31200 |
| Square | 1601200225 |
| Cube | 64072027003375 |
| Square root | 200.037496 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0015 × |
40015 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and fifteen |
| Binary (base 2) | 1001110001001111 |
| Octal (base 8) | 116117 |
| Hexadecimal (base 16) | 9C4F |
| Base 3 | 2000220001 |
| As time | 40015 seconds = 11 h 6 min 55 s |
Is 40015 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 | No (remainder 1) | 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 | Yes (40015 ÷ 5 = 8003) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40015 a prime number?
No. 40015 = 5 × 53 × 151, so it is divisible by 5.
What are the factors of 40015?
1, 5, 53, 151, 265, 755, 8003, 40015.
What is 40015 in binary?
1001110001001111 (hexadecimal 9C4F, octal 116117).
What is the square root of 40015?
About 200.0375.
Is 40015 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40015?
It is a composite number with 8 divisors.