The number 16104
16104 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 61. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 61, 66, 88, 122 … 16104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16104: a Harshad number: divisible by its digit sum 12.
- 2
16104 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 16104 itself that is 28536, so 16104 is abundant (28536 is more than 16104). Euler's totient φ(16104) = 4800 numbers up to 16104 share no factor with it.
- 4
The digits of 16104 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16104 = 2^{3} \times 3 \times 11 \times 61 \]16104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 4800 |
| Square | 259338816 |
| Cube | 4176392292864 |
| Square root | 126.901537 (= 2√4026) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6104 × |
16104 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and four |
| Binary (base 2) | 11111011101000 |
| Octal (base 8) | 37350 |
| Hexadecimal (base 16) | 3EE8 |
| Base 3 | 211002110 |
| As time | 16104 seconds = 4 h 28 min 24 s |
Is 16104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16104 ÷ 2 = 8052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16104 ÷ 3 = 5368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16104 ÷ 4 = 4026) | 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 | Yes (16104 ÷ 6 = 2684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (16104 ÷ 8 = 2013) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16104 ÷ 11 = 1464) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16104 ÷ 12 = 1342) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16104 a prime number?
No. 16104 = × 3 × 11 × 61, so it is divisible by 2.
What are the factors of 16104?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 61, 66, 88, 122, 132, 183, 244, 264, 366, 488, 671, 732, 1342, 1464, 2013, 2684, 4026, 5368, 8052, 16104.
What is 16104 in binary?
11111011101000 (hexadecimal 3EE8, octal 37350).
What is the square root of 16104?
About 126.9015, exactly 2√4026.
Is 16104 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 16104?
16104 is a Harshad number: divisible by its digit sum 12.