The number 18104
18104 is a composite number with 16 divisors. Its prime factorisation is × 31 × 73. Divisors (16): 1, 2, 4, 8, 31, 62, 73, 124, 146, 248, 292, 584, 2263, 4526, 9052, 18104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18104 is composite. Its prime factorisation is
- 3
The divisors add up to 35520; without 18104 itself that is 17416, so 18104 is deficient (17416 is less than 18104). Euler's totient φ(18104) = 8640 numbers up to 18104 share no factor with it.
- 4
The digits of 18104 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18104 = 2^{3} \times 31 \times 73 \]18104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 35520 |
| Euler totient φ(n) | 8640 |
| Square | 327754816 |
| Cube | 5933673188864 |
| Square root | 134.551106 (= 2√4526) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8104 × |
18104 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and four |
| Binary (base 2) | 100011010111000 |
| Octal (base 8) | 43270 |
| Hexadecimal (base 16) | 46B8 |
| Base 3 | 220211112 |
| As time | 18104 seconds = 5 h 1 min 44 s |
Is 18104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18104 ÷ 2 = 9052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18104 ÷ 4 = 4526) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (18104 ÷ 8 = 2263) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18104 a prime number?
No. 18104 = × 31 × 73, so it is divisible by 2.
What are the factors of 18104?
1, 2, 4, 8, 31, 62, 73, 124, 146, 248, 292, 584, 2263, 4526, 9052, 18104.
What is 18104 in binary?
100011010111000 (hexadecimal 46B8, octal 43270).
What is the square root of 18104?
About 134.5511, exactly 2√4526.
Is 18104 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 18104?
18104 is a happy number: repeatedly adding the squares of its digits reaches 1.