The number 29500
29500 is a composite number with 24 divisors. Its prime factorisation is × × 59. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 125, 236, 250, 295, 500 … 29500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29500 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 29500 itself that is 36020, so 29500 is abundant (36020 is more than 29500). Euler's totient φ(29500) = 11600 numbers up to 29500 share no factor with it.
- 4
The digits of 29500 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29500 = 2^{2} \times 5^{3} \times 59 \]29500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 11600 |
| Square | 870250000 |
| Cube | 25672375000000 |
| Square root | 171.755640 (= 10√295) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.95 × |
29500 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand five hundred |
| Binary (base 2) | 111001100111100 |
| Octal (base 8) | 71474 |
| Hexadecimal (base 16) | 733C |
| Base 3 | 1111110121 |
| As time | 29500 seconds = 8 h 11 min 40 s |
Is 29500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29500 ÷ 2 = 14750) | 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 (29500 ÷ 4 = 7375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29500 ÷ 5 = 5900) | 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29500 ÷ 10 = 2950) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 29500 a prime number?
No. 29500 = × × 59, so it is divisible by 2.
What are the factors of 29500?
1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 125, 236, 250, 295, 500, 590, 1180, 1475, 2950, 5900, 7375, 14750, 29500.
What is 29500 in binary?
111001100111100 (hexadecimal 733C, octal 71474).
What is the square root of 29500?
About 171.7556, exactly 10√295.
Is 29500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 29500?
It is a composite number with 24 divisors.