The number 40105
40105 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 617. Divisors (8): 1, 5, 13, 65, 617, 3085, 8021, 40105.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40105 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40105 is composite. Its prime factorisation is
- 3
The divisors add up to 51912; without 40105 itself that is 11807, so 40105 is deficient (11807 is less than 40105). Euler's totient φ(40105) = 29568 numbers up to 40105 share no factor with it.
- 4
The digits of 40105 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 274 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40105 = 5 \times 13 \times 617 \]
40105 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51912 |
| Euler totient φ(n) | 29568 |
| Square | 1608411025 |
| Cube | 64505324157625 |
| Square root | 200.262328 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 274 |
| Scientific notation | 4.0105 × |
40105 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and five |
| Binary (base 2) | 1001110010101001 |
| Octal (base 8) | 116251 |
| Hexadecimal (base 16) | 9CA9 |
| Base 3 | 2001000101 |
| As time | 40105 seconds = 11 h 8 min 25 s |
Is 40105 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40105 ÷ 5 = 8021) | 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 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40105 a prime number?
No. 40105 = 5 × 13 × 617, so it is divisible by 5.
What are the factors of 40105?
1, 5, 13, 65, 617, 3085, 8021, 40105.
What is 40105 in binary?
1001110010101001 (hexadecimal 9CA9, octal 116251).
What is the square root of 40105?
About 200.2623.
Is 40105 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40105?
It is a composite number with 8 divisors.