The number 29200
29200 is a composite number with 30 divisors. Its prime factorisation is × × 73. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 73, 80, 100, 146, 200 … 29200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29200 is composite. Its prime factorisation is
- 3
The divisors add up to 71114; without 29200 itself that is 41914, so 29200 is abundant (41914 is more than 29200). Euler's totient φ(29200) = 11520 numbers up to 29200 share no factor with it.
- 4
The digits of 29200 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29200 = 2^{4} \times 5^{2} \times 73 \]29200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 71114 |
| Euler totient φ(n) | 11520 |
| Square | 852640000 |
| Cube | 24897088000000 |
| Square root | 170.880075 (= 20√73) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.92 × |
29200 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred |
| Binary (base 2) | 111001000010000 |
| Octal (base 8) | 71020 |
| Hexadecimal (base 16) | 7210 |
| Base 3 | 1111001111 |
| As time | 29200 seconds = 8 h 6 min 40 s |
Is 29200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29200 ÷ 2 = 14600) | 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 (29200 ÷ 4 = 7300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29200 ÷ 5 = 5840) | 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 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 (29200 ÷ 8 = 3650) | 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 | Yes (29200 ÷ 10 = 2920) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 29200 a prime number?
No. 29200 = × × 73, so it is divisible by 2.
What are the factors of 29200?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 73, 80, 100, 146, 200, 292, 365, 400, 584, 730, 1168, 1460, 1825, 2920, 3650, 5840, 7300, 14600, 29200.
What is 29200 in binary?
111001000010000 (hexadecimal 7210, octal 71020).
What is the square root of 29200?
About 170.8801, exactly 20√73.
Is 29200 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 29200?
It is a composite number with 30 divisors.