The number 18988
18988 is a composite number with 12 divisors. Its prime factorisation is × 47 × 101. Divisors (12): 1, 2, 4, 47, 94, 101, 188, 202, 404, 4747, 9494, 18988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18988 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 18988 itself that is 15284, so 18988 is deficient (15284 is less than 18988). Euler's totient φ(18988) = 9200 numbers up to 18988 share no factor with it.
- 4
The digits of 18988 add up to 34, 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
\[ 18988 = 2^{2} \times 47 \times 101 \]18988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 9200 |
| Square | 360544144 |
| Cube | 6846012206272 |
| Square root | 137.796952 (= 2√4747) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8988 × |
18988 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand nine hundred and eighty-eight |
| Binary (base 2) | 100101000101100 |
| Octal (base 8) | 45054 |
| Hexadecimal (base 16) | 4A2C |
| Base 3 | 222001021 |
| As time | 18988 seconds = 5 h 16 min 28 s |
Is 18988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18988 ÷ 2 = 9494) | 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 (18988 ÷ 4 = 4747) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 18988 a prime number?
No. 18988 = × 47 × 101, so it is divisible by 2.
What are the factors of 18988?
1, 2, 4, 47, 94, 101, 188, 202, 404, 4747, 9494, 18988.
What is 18988 in binary?
100101000101100 (hexadecimal 4A2C, octal 45054).
What is the square root of 18988?
About 137.7970, exactly 2√4747.
Is 18988 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 18988?
It is a composite number with 12 divisors.