The number 40103
40103 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 337. Divisors (8): 1, 7, 17, 119, 337, 2359, 5729, 40103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40103 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40103 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 40103 itself that is 8569, so 40103 is deficient (8569 is less than 40103). Euler's totient φ(40103) = 32256 numbers up to 40103 share no factor with it.
- 4
The digits of 40103 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40103 = 7 \times 17 \times 337 \]
40103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 32256 |
| Square | 1608250609 |
| Cube | 64495674172727 |
| Square root | 200.257334 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0103 × |
40103 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and three |
| Binary (base 2) | 1001110010100111 |
| Octal (base 8) | 116247 |
| Hexadecimal (base 16) | 9CA7 |
| Base 3 | 2001000022 |
| As time | 40103 seconds = 11 h 8 min 23 s |
Is 40103 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40103 ÷ 7 = 5729) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40103 a prime number?
No. 40103 = 7 × 17 × 337, so it is divisible by 7.
What are the factors of 40103?
1, 7, 17, 119, 337, 2359, 5729, 40103.
What is 40103 in binary?
1001110010100111 (hexadecimal 9CA7, octal 116247).
What is the square root of 40103?
About 200.2573.
Is 40103 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 40103?
It is a composite number with 8 divisors.