The number 34104
34104 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 29. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 49, 56 … 34104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34104: a Harshad number: divisible by its digit sum 12.
- 2
34104 is composite. Its prime factorisation is
- 3
The divisors add up to 102600; without 34104 itself that is 68496, so 34104 is abundant (68496 is more than 34104). Euler's totient φ(34104) = 9408 numbers up to 34104 share no factor with it.
- 4
The digits of 34104 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34104 = 2^{3} \times 3 \times 7^{2} \times 29 \]34104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 102600 |
| Euler totient φ(n) | 9408 |
| Square | 1163082816 |
| Cube | 39665776356864 |
| Square root | 184.672683 (= 14√174) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4104 × |
34104 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and four |
| Binary (base 2) | 1000010100111000 |
| Octal (base 8) | 102470 |
| Hexadecimal (base 16) | 8538 |
| Base 3 | 1201210010 |
| As time | 34104 seconds = 9 h 28 min 24 s |
Is 34104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34104 ÷ 2 = 17052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34104 ÷ 3 = 11368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34104 ÷ 4 = 8526) | 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 (34104 ÷ 6 = 5684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34104 ÷ 7 = 4872) | 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 (34104 ÷ 8 = 4263) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34104 ÷ 12 = 2842) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34104 a prime number?
No. 34104 = × 3 × × 29, so it is divisible by 2.
What are the factors of 34104?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 49, 56, 58, 84, 87, 98, 116, 147, 168, 174, 196, 203, 232, 294, 348, 392, 406, 588, 609, 696, 812, 1176, 1218, 1421, 1624, 2436, 2842, 4263, 4872, 5684, 8526, 11368, 17052, 34104.
What is 34104 in binary?
1000010100111000 (hexadecimal 8538, octal 102470).
What is the square root of 34104?
About 184.6727, exactly 14√174.
Is 34104 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 34104?
34104 is a Harshad number: divisible by its digit sum 12.