The number 29109
29109 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 313. Divisors (8): 1, 3, 31, 93, 313, 939, 9703, 29109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29109: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29109 is composite. Its prime factorisation is
- 3
The divisors add up to 40192; without 29109 itself that is 11083, so 29109 is deficient (11083 is less than 29109). Euler's totient φ(29109) = 18720 numbers up to 29109 share no factor with it.
- 4
The digits of 29109 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29109 = 3 \times 31 \times 313 \]
29109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40192 |
| Euler totient φ(n) | 18720 |
| Square | 847333881 |
| Cube | 24665041942029 |
| Square root | 170.613599 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9109 × |
29109 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and nine |
| Binary (base 2) | 111000110110101 |
| Octal (base 8) | 70665 |
| Hexadecimal (base 16) | 71B5 |
| Base 3 | 1110221010 |
| As time | 29109 seconds = 8 h 5 min 9 s |
Is 29109 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29109 ÷ 3 = 9703) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29109 a prime number?
No. 29109 = 3 × 31 × 313, so it is divisible by 3.
What are the factors of 29109?
1, 3, 31, 93, 313, 939, 9703, 29109.
What is 29109 in binary?
111000110110101 (hexadecimal 71B5, octal 70665).
What is the square root of 29109?
About 170.6136.
Is 29109 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29109?
29109 is a happy number: repeatedly adding the squares of its digits reaches 1.