The number 18140
18140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 907. Divisors (12): 1, 2, 4, 5, 10, 20, 907, 1814, 3628, 4535, 9070, 18140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18140 is composite. Its prime factorisation is
- 3
The divisors add up to 38136; without 18140 itself that is 19996, so 18140 is abundant (19996 is more than 18140). Euler's totient φ(18140) = 7248 numbers up to 18140 share no factor with it.
- 4
The digits of 18140 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18140 = 2^{2} \times 5 \times 907 \]18140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38136 |
| Euler totient φ(n) | 7248 |
| Square | 329059600 |
| Cube | 5969141144000 |
| Square root | 134.684817 (= 2√4535) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.814 × |
18140 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and forty |
| Binary (base 2) | 100011011011100 |
| Octal (base 8) | 43334 |
| Hexadecimal (base 16) | 46DC |
| Base 3 | 220212212 |
| As time | 18140 seconds = 5 h 2 min 20 s |
Is 18140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18140 ÷ 2 = 9070) | 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 | Yes (18140 ÷ 4 = 4535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18140 ÷ 5 = 3628) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18140 ÷ 10 = 1814) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18140 a prime number?
No. 18140 = × 5 × 907, so it is divisible by 2.
What are the factors of 18140?
1, 2, 4, 5, 10, 20, 907, 1814, 3628, 4535, 9070, 18140.
What is 18140 in binary?
100011011011100 (hexadecimal 46DC, octal 43334).
What is the square root of 18140?
About 134.6848, exactly 2√4535.
Is 18140 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 18140?
18140 is a happy number: repeatedly adding the squares of its digits reaches 1.