The number 29241
29241 is a perfect square (171²). Its prime factorisation is × . Divisors (15): 1, 3, 9, 19, 27, 57, 81, 171, 361, 513, 1083, 1539, 3249, 9747, 29241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29241: a perfect square (171²).
- 2
29241 is composite. Its prime factorisation is
- 3
The divisors add up to 46101; without 29241 itself that is 16860, so 29241 is deficient (16860 is less than 29241). Euler's totient φ(29241) = 18468 numbers up to 29241 share no factor with it.
- 4
The digits of 29241 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29241 = 3^{4} \times 19^{2} \]29241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 46101 |
| Euler totient φ(n) | 18468 |
| Square | 855036081 |
| Cube | 25002110044521 |
| Square root | 171 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9241 × |
| Perfect power |
29241 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred and forty-one |
| Binary (base 2) | 111001000111001 |
| Octal (base 8) | 71071 |
| Hexadecimal (base 16) | 7239 |
| Base 3 | 1111010000 |
| As time | 29241 seconds = 8 h 7 min 21 s |
Is 29241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29241 ÷ 3 = 9747) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29241 ÷ 9 = 3249) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29241 a prime number?
No. 29241 = × , so it is divisible by 3.
What are the factors of 29241?
1, 3, 9, 19, 27, 57, 81, 171, 361, 513, 1083, 1539, 3249, 9747, 29241.
What is 29241 in binary?
111001000111001 (hexadecimal 7239, octal 71071).
What is the square root of 29241?
171, because 171 × 171 = 29241.
Is 29241 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29241?
29241 is a perfect square (171²).