The number 29104
29104 is a composite number with 20 divisors. Its prime factorisation is × 17 × 107. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 107, 136, 214, 272, 428, 856, 1712, 1819 … 29104.
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How to work it out
- 1
What is special about 29104: a Harshad number: divisible by its digit sum 16.
- 2
29104 is composite. Its prime factorisation is
- 3
The divisors add up to 60264; without 29104 itself that is 31160, so 29104 is abundant (31160 is more than 29104). Euler's totient φ(29104) = 13568 numbers up to 29104 share no factor with it.
- 4
The digits of 29104 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29104 = 2^{4} \times 17 \times 107 \]29104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 60264 |
| Euler totient φ(n) | 13568 |
| Square | 847042816 |
| Cube | 24652334116864 |
| Square root | 170.598945 (= 4√1819) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9104 × |
29104 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and four |
| Binary (base 2) | 111000110110000 |
| Octal (base 8) | 70660 |
| Hexadecimal (base 16) | 71B0 |
| Base 3 | 1110220221 |
| As time | 29104 seconds = 8 h 5 min 4 s |
Is 29104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29104 ÷ 2 = 14552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29104 ÷ 4 = 7276) | 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 4) | 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 (29104 ÷ 8 = 3638) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29104 a prime number?
No. 29104 = × 17 × 107, so it is divisible by 2.
What are the factors of 29104?
1, 2, 4, 8, 16, 17, 34, 68, 107, 136, 214, 272, 428, 856, 1712, 1819, 3638, 7276, 14552, 29104.
What is 29104 in binary?
111000110110000 (hexadecimal 71B0, octal 70660).
What is the square root of 29104?
About 170.5989, exactly 4√1819.
Is 29104 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 29104?
29104 is a Harshad number: divisible by its digit sum 16.