The number 18700
18700 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 17. Divisors (36): 1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85 … 18700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18700 is composite. Its prime factorisation is
- 3
The divisors add up to 46872; without 18700 itself that is 28172, so 18700 is abundant (28172 is more than 18700). Euler's totient φ(18700) = 6400 numbers up to 18700 share no factor with it.
- 4
The digits of 18700 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18700 = 2^{2} \times 5^{2} \times 11 \times 17 \]18700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 46872 |
| Euler totient φ(n) | 6400 |
| Square | 349690000 |
| Cube | 6539203000000 |
| Square root | 136.747943 (= 10√187) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.87 × |
18700 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred |
| Binary (base 2) | 100100100001100 |
| Octal (base 8) | 44414 |
| Hexadecimal (base 16) | 490C |
| Base 3 | 221122121 |
| As time | 18700 seconds = 5 h 11 min 40 s |
Is 18700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18700 ÷ 2 = 9350) | 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 (18700 ÷ 4 = 4675) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18700 ÷ 5 = 3740) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18700 ÷ 10 = 1870) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18700 ÷ 11 = 1700) | 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 18700 a prime number?
No. 18700 = × × 11 × 17, so it is divisible by 2.
What are the factors of 18700?
1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 170, 187, 220, 275, 340, 374, 425, 550, 748, 850, 935, 1100, 1700, 1870, 3740, 4675, 9350, 18700.
What is 18700 in binary?
100100100001100 (hexadecimal 490C, octal 44414).
What is the square root of 18700?
About 136.7479, exactly 10√187.
Is 18700 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18700?
It is a composite number with 36 divisors.