The number 29036
29036 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 61. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 61, 68, 119, 122, 238, 244, 427, 476 … 29036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29036: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29036 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 29036 itself that is 33460, so 29036 is abundant (33460 is more than 29036). Euler's totient φ(29036) = 11520 numbers up to 29036 share no factor with it.
- 4
The digits of 29036 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29036 = 2^{2} \times 7 \times 17 \times 61 \]29036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 11520 |
| Square | 843089296 |
| Cube | 24479940798656 |
| Square root | 170.399531 (= 2√7259) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9036 × |
29036 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and thirty-six |
| Binary (base 2) | 111000101101100 |
| Octal (base 8) | 70554 |
| Hexadecimal (base 16) | 716C |
| Base 3 | 1110211102 |
| As time | 29036 seconds = 8 h 3 min 56 s |
Is 29036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29036 ÷ 2 = 14518) | 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 (29036 ÷ 4 = 7259) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (29036 ÷ 7 = 4148) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 29036 a prime number?
No. 29036 = × 7 × 17 × 61, so it is divisible by 2.
What are the factors of 29036?
1, 2, 4, 7, 14, 17, 28, 34, 61, 68, 119, 122, 238, 244, 427, 476, 854, 1037, 1708, 2074, 4148, 7259, 14518, 29036.
What is 29036 in binary?
111000101101100 (hexadecimal 716C, octal 70554).
What is the square root of 29036?
About 170.3995, exactly 2√7259.
Is 29036 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29036?
29036 is a happy number: repeatedly adding the squares of its digits reaches 1.