The number 18370
18370 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 167. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 167, 334, 835, 1670, 1837, 3674, 9185, 18370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18370 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 18370 itself that is 17918, so 18370 is deficient (17918 is less than 18370). Euler's totient φ(18370) = 6640 numbers up to 18370 share no factor with it.
- 4
The digits of 18370 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18370 = 2 \times 5 \times 11 \times 167 \]
18370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 6640 |
| Square | 337456900 |
| Cube | 6199083253000 |
| Square root | 135.535973 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.837 × |
18370 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and seventy |
| Binary (base 2) | 100011111000010 |
| Octal (base 8) | 43702 |
| Hexadecimal (base 16) | 47C2 |
| Base 3 | 221012101 |
| As time | 18370 seconds = 5 h 6 min 10 s |
Is 18370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18370 ÷ 2 = 9185) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18370 ÷ 5 = 3674) | 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 | 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 2) | 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 | Yes (18370 ÷ 10 = 1837) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18370 ÷ 11 = 1670) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18370 a prime number?
No. 18370 = 2 × 5 × 11 × 167, so it is divisible by 2.
What are the factors of 18370?
1, 2, 5, 10, 11, 22, 55, 110, 167, 334, 835, 1670, 1837, 3674, 9185, 18370.
What is 18370 in binary?
100011111000010 (hexadecimal 47C2, octal 43702).
What is the square root of 18370?
About 135.5360.
Is 18370 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18370?
It is a composite number with 16 divisors.