The number 18340
18340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 131. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 131, 140, 262, 524, 655 … 18340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18340 is composite. Its prime factorisation is
- 3
The divisors add up to 44352; without 18340 itself that is 26012, so 18340 is abundant (26012 is more than 18340). Euler's totient φ(18340) = 6240 numbers up to 18340 share no factor with it.
- 4
The digits of 18340 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18340 = 2^{2} \times 5 \times 7 \times 131 \]18340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 44352 |
| Euler totient φ(n) | 6240 |
| Square | 336355600 |
| Cube | 6168761704000 |
| Square root | 135.425256 (= 2√4585) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.834 × |
18340 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and forty |
| Binary (base 2) | 100011110100100 |
| Octal (base 8) | 43644 |
| Hexadecimal (base 16) | 47A4 |
| Base 3 | 221011021 |
| As time | 18340 seconds = 5 h 5 min 40 s |
Is 18340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18340 ÷ 2 = 9170) | 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 | Yes (18340 ÷ 4 = 4585) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18340 ÷ 5 = 3668) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18340 ÷ 7 = 2620) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18340 ÷ 10 = 1834) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18340 a prime number?
No. 18340 = × 5 × 7 × 131, so it is divisible by 2.
What are the factors of 18340?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 131, 140, 262, 524, 655, 917, 1310, 1834, 2620, 3668, 4585, 9170, 18340.
What is 18340 in binary?
100011110100100 (hexadecimal 47A4, octal 43644).
What is the square root of 18340?
About 135.4253, exactly 2√4585.
Is 18340 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18340?
It is a composite number with 24 divisors.