The number 18888
18888 is a composite number with 16 divisors. Its prime factorisation is × 3 × 787. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 787, 1574, 2361, 3148, 4722, 6296, 9444, 18888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18888 is composite. Its prime factorisation is
- 3
The divisors add up to 47280; without 18888 itself that is 28392, so 18888 is abundant (28392 is more than 18888). Euler's totient φ(18888) = 6288 numbers up to 18888 share no factor with it.
- 4
The digits of 18888 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18888 = 2^{3} \times 3 \times 787 \]18888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47280 |
| Euler totient φ(n) | 6288 |
| Square | 356756544 |
| Cube | 6738417603072 |
| Square root | 137.433620 (= 2√4722) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8888 × |
18888 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and eighty-eight |
| Binary (base 2) | 100100111001000 |
| Octal (base 8) | 44710 |
| Hexadecimal (base 16) | 49C8 |
| Base 3 | 221220120 |
| As time | 18888 seconds = 5 h 14 min 48 s |
Is 18888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18888 ÷ 2 = 9444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18888 ÷ 3 = 6296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18888 ÷ 4 = 4722) | 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 | Yes (18888 ÷ 6 = 3148) | 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 | Yes (18888 ÷ 8 = 2361) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18888 ÷ 12 = 1574) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18888 a prime number?
No. 18888 = × 3 × 787, so it is divisible by 2.
What are the factors of 18888?
1, 2, 3, 4, 6, 8, 12, 24, 787, 1574, 2361, 3148, 4722, 6296, 9444, 18888.
What is 18888 in binary?
100100111001000 (hexadecimal 49C8, octal 44710).
What is the square root of 18888?
About 137.4336, exactly 2√4722.
Is 18888 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 18888?
It is a composite number with 16 divisors.