The number 18648
18648 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 37. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 37 … 18648.
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How to work it out
- 1
18648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18648 is composite. Its prime factorisation is
- 3
The divisors add up to 59280; without 18648 itself that is 40632, so 18648 is abundant (40632 is more than 18648). Euler's totient φ(18648) = 5184 numbers up to 18648 share no factor with it.
- 4
The digits of 18648 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18648 = 2^{3} \times 3^{2} \times 7 \times 37 \]18648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 59280 |
| Euler totient φ(n) | 5184 |
| Square | 347747904 |
| Cube | 6484802913792 |
| Square root | 136.557680 (= 6√518) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.8648 × |
18648 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand six hundred and forty-eight |
| Binary (base 2) | 100100011011000 |
| Octal (base 8) | 44330 |
| Hexadecimal (base 16) | 48D8 |
| Base 3 | 221120200 |
| As time | 18648 seconds = 5 h 10 min 48 s |
Is 18648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18648 ÷ 2 = 9324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18648 ÷ 3 = 6216) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18648 ÷ 4 = 4662) | 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 (18648 ÷ 6 = 3108) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18648 ÷ 7 = 2664) | 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 (18648 ÷ 8 = 2331) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18648 ÷ 9 = 2072) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18648 ÷ 12 = 1554) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18648 a prime number?
No. 18648 = × × 7 × 37, so it is divisible by 2.
What are the factors of 18648?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 37, 42, 56, 63, 72, 74, 84, 111, 126, 148, 168, 222, 252, 259, 296, 333, 444, 504, 518, 666, 777, 888, 1036, 1332, 1554, 2072, 2331, 2664, 3108, 4662, 6216, 9324, 18648.
What is 18648 in binary?
100100011011000 (hexadecimal 48D8, octal 44330).
What is the square root of 18648?
About 136.5577, exactly 6√518.
Is 18648 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18648?
It is a composite number with 48 divisors.