The number 29000
29000 is a composite number with 32 divisors. Its prime factorisation is × × 29. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 125, 145 … 29000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29000 is composite. Its prime factorisation is
- 3
The divisors add up to 70200; without 29000 itself that is 41200, so 29000 is abundant (41200 is more than 29000). Euler's totient φ(29000) = 11200 numbers up to 29000 share no factor with it.
- 4
The digits of 29000 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29000 = 2^{3} \times 5^{3} \times 29 \]29000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 70200 |
| Euler totient φ(n) | 11200 |
| Square | 841000000 |
| Cube | 24389000000000 |
| Square root | 170.293864 (= 10√290) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9 × |
29000 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand |
| Binary (base 2) | 111000101001000 |
| Octal (base 8) | 70510 |
| Hexadecimal (base 16) | 7148 |
| Base 3 | 1110210002 |
| As time | 29000 seconds = 8 h 3 min 20 s |
Is 29000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29000 ÷ 2 = 14500) | 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 (29000 ÷ 4 = 7250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29000 ÷ 5 = 5800) | 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 | No (remainder 6) | 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 (29000 ÷ 8 = 3625) | 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 | Yes (29000 ÷ 10 = 2900) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29000 a prime number?
No. 29000 = × × 29, so it is divisible by 2.
What are the factors of 29000?
1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 125, 145, 200, 232, 250, 290, 500, 580, 725, 1000, 1160, 1450, 2900, 3625, 5800, 7250, 14500, 29000.
What is 29000 in binary?
111000101001000 (hexadecimal 7148, octal 70510).
What is the square root of 29000?
About 170.2939, exactly 10√290.
Is 29000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 29000?
It is a composite number with 32 divisors.