The number 29800
29800 is a composite number with 24 divisors. Its prime factorisation is × × 149. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 149, 200, 298, 596, 745 … 29800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29800 is composite. Its prime factorisation is
- 3
The divisors add up to 69750; without 29800 itself that is 39950, so 29800 is abundant (39950 is more than 29800). Euler's totient φ(29800) = 11840 numbers up to 29800 share no factor with it.
- 4
The digits of 29800 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29800 = 2^{3} \times 5^{2} \times 149 \]29800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 69750 |
| Euler totient φ(n) | 11840 |
| Square | 888040000 |
| Cube | 26463592000000 |
| Square root | 172.626765 (= 10√298) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.98 × |
29800 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred |
| Binary (base 2) | 111010001101000 |
| Octal (base 8) | 72150 |
| Hexadecimal (base 16) | 7468 |
| Base 3 | 1111212201 |
| As time | 29800 seconds = 8 h 16 min 40 s |
Is 29800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29800 ÷ 2 = 14900) | 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 (29800 ÷ 4 = 7450) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29800 ÷ 5 = 5960) | 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 1) | 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 (29800 ÷ 8 = 3725) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29800 ÷ 10 = 2980) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 29800 a prime number?
No. 29800 = × × 149, so it is divisible by 2.
What are the factors of 29800?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 149, 200, 298, 596, 745, 1192, 1490, 2980, 3725, 5960, 7450, 14900, 29800.
What is 29800 in binary?
111010001101000 (hexadecimal 7468, octal 72150).
What is the square root of 29800?
About 172.6268, exactly 10√298.
Is 29800 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 29800?
It is a composite number with 24 divisors.