The number 29088
29088 is a composite number with 36 divisors. Its prime factorisation is × × 101. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 29088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29088 is composite. Its prime factorisation is
- 3
The divisors add up to 83538; without 29088 itself that is 54450, so 29088 is abundant (54450 is more than 29088). Euler's totient φ(29088) = 9600 numbers up to 29088 share no factor with it.
- 4
The digits of 29088 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29088 = 2^{5} \times 3^{2} \times 101 \]29088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 83538 |
| Euler totient φ(n) | 9600 |
| Square | 846111744 |
| Cube | 24611698409472 |
| Square root | 170.552045 (= 12√202) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 20 |
| Scientific notation | 2.9088 × |
29088 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and eighty-eight |
| Binary (base 2) | 111000110100000 |
| Octal (base 8) | 70640 |
| Hexadecimal (base 16) | 71A0 |
| Base 3 | 1110220100 |
| As time | 29088 seconds = 8 h 4 min 48 s |
Is 29088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29088 ÷ 2 = 14544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29088 ÷ 3 = 9696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29088 ÷ 4 = 7272) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29088 ÷ 6 = 4848) | 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 | Yes (29088 ÷ 8 = 3636) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29088 ÷ 9 = 3232) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (29088 ÷ 12 = 2424) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29088 a prime number?
No. 29088 = × × 101, so it is divisible by 2.
What are the factors of 29088?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 101, 144, 202, 288, 303, 404, 606, 808, 909, 1212, 1616, 1818, 2424, 3232, 3636, 4848, 7272, 9696, 14544, 29088.
What is 29088 in binary?
111000110100000 (hexadecimal 71A0, octal 70640).
What is the square root of 29088?
About 170.5520, exactly 12√202.
Is 29088 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29088?
It is a composite number with 36 divisors.