The number 12104
12104 is a composite number with 16 divisors. Its prime factorisation is × 17 × 89. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 89, 136, 178, 356, 712, 1513, 3026, 6052, 12104.
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How to work it out
- 1
What is special about 12104: a Harshad number: divisible by its digit sum 8.
- 2
12104 is composite. Its prime factorisation is
- 3
The divisors add up to 24300; without 12104 itself that is 12196, so 12104 is abundant (12196 is more than 12104). Euler's totient φ(12104) = 5632 numbers up to 12104 share no factor with it.
- 4
The digits of 12104 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12104 = 2^{3} \times 17 \times 89 \]12104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24300 |
| Euler totient φ(n) | 5632 |
| Square | 146506816 |
| Cube | 1773318500864 |
| Square root | 110.018180 (= 2√3026) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.2104 × |
12104 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and four |
| Binary (base 2) | 10111101001000 |
| Octal (base 8) | 27510 |
| Hexadecimal (base 16) | 2F48 |
| Base 3 | 121121022 |
| As time | 12104 seconds = 3 h 21 min 44 s |
Is 12104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12104 ÷ 2 = 6052) | 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 (12104 ÷ 4 = 3026) | 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 1) | 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 (12104 ÷ 8 = 1513) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | 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 12104 a prime number?
No. 12104 = × 17 × 89, so it is divisible by 2.
What are the factors of 12104?
1, 2, 4, 8, 17, 34, 68, 89, 136, 178, 356, 712, 1513, 3026, 6052, 12104.
What is 12104 in binary?
10111101001000 (hexadecimal 2F48, octal 27510).
What is the square root of 12104?
About 110.0182, exactly 2√3026.
Is 12104 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12104?
12104 is a Harshad number: divisible by its digit sum 8.