The number 29029
29029 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 29. Divisors (16): 1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147, 29029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29029 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 29029 itself that is 11291, so 29029 is deficient (11291 is less than 29029). Euler's totient φ(29029) = 20160 numbers up to 29029 share no factor with it.
- 4
The digits of 29029 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29029 = 7 \times 11 \times 13 \times 29 \]
29029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 20160 |
| Square | 842682841 |
| Cube | 24462240191389 |
| Square root | 170.378989 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9029 × |
29029 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and twenty-nine |
| Binary (base 2) | 111000101100101 |
| Octal (base 8) | 70545 |
| Hexadecimal (base 16) | 7165 |
| Base 3 | 1110211011 |
| As time | 29029 seconds = 8 h 3 min 49 s |
Is 29029 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29029 ÷ 7 = 4147) | 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 4) | 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 | Yes (29029 ÷ 11 = 2639) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29029 a prime number?
No. 29029 = 7 × 11 × 13 × 29, so it is divisible by 7.
What are the factors of 29029?
1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147, 29029.
What is 29029 in binary?
111000101100101 (hexadecimal 7165, octal 70545).
What is the square root of 29029?
About 170.3790.
Is 29029 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29029?
It is a composite number with 16 divisors.