The number 18408
18408 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 59. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 59, 78, 104, 118 … 18408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18408 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 18408 itself that is 31992, so 18408 is abundant (31992 is more than 18408). Euler's totient φ(18408) = 5568 numbers up to 18408 share no factor with it.
- 4
The digits of 18408 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18408 = 2^{3} \times 3 \times 13 \times 59 \]18408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 5568 |
| Square | 338854464 |
| Cube | 6237632973312 |
| Square root | 135.676085 (= 2√4602) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8408 × |
18408 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and eight |
| Binary (base 2) | 100011111101000 |
| Octal (base 8) | 43750 |
| Hexadecimal (base 16) | 47E8 |
| Base 3 | 221020210 |
| As time | 18408 seconds = 5 h 6 min 48 s |
Is 18408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18408 ÷ 2 = 9204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18408 ÷ 3 = 6136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18408 ÷ 4 = 4602) | 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 (18408 ÷ 6 = 3068) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (18408 ÷ 8 = 2301) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18408 ÷ 12 = 1534) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18408 a prime number?
No. 18408 = × 3 × 13 × 59, so it is divisible by 2.
What are the factors of 18408?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 59, 78, 104, 118, 156, 177, 236, 312, 354, 472, 708, 767, 1416, 1534, 2301, 3068, 4602, 6136, 9204, 18408.
What is 18408 in binary?
100011111101000 (hexadecimal 47E8, octal 43750).
What is the square root of 18408?
About 135.6761, exactly 2√4602.
Is 18408 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18408?
It is a composite number with 32 divisors.