The number 29488
29488 is a composite number with 20 divisors. Its prime factorisation is × 19 × 97. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 97, 152, 194, 304, 388, 776, 1552, 1843 … 29488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29488 is composite. Its prime factorisation is
- 3
The divisors add up to 60760; without 29488 itself that is 31272, so 29488 is abundant (31272 is more than 29488). Euler's totient φ(29488) = 13824 numbers up to 29488 share no factor with it.
- 4
The digits of 29488 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29488 = 2^{4} \times 19 \times 97 \]29488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 60760 |
| Euler totient φ(n) | 13824 |
| Square | 869542144 |
| Cube | 25641058742272 |
| Square root | 171.720703 (= 4√1843) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9488 × |
29488 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and eighty-eight |
| Binary (base 2) | 111001100110000 |
| Octal (base 8) | 71460 |
| Hexadecimal (base 16) | 7330 |
| Base 3 | 1111110011 |
| As time | 29488 seconds = 8 h 11 min 28 s |
Is 29488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29488 ÷ 2 = 14744) | 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 | Yes (29488 ÷ 4 = 7372) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (29488 ÷ 8 = 3686) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29488 a prime number?
No. 29488 = × 19 × 97, so it is divisible by 2.
What are the factors of 29488?
1, 2, 4, 8, 16, 19, 38, 76, 97, 152, 194, 304, 388, 776, 1552, 1843, 3686, 7372, 14744, 29488.
What is 29488 in binary?
111001100110000 (hexadecimal 7330, octal 71460).
What is the square root of 29488?
About 171.7207, exactly 4√1843.
Is 29488 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 29488?
It is a composite number with 20 divisors.