The number 29421
29421 is a composite number with 12 divisors. Its prime factorisation is × 7 × 467. Divisors (12): 1, 3, 7, 9, 21, 63, 467, 1401, 3269, 4203, 9807, 29421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29421 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29421 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 29421 itself that is 19251, so 29421 is deficient (19251 is less than 29421). Euler's totient φ(29421) = 16776 numbers up to 29421 share no factor with it.
- 4
The digits of 29421 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
\[ 29421 = 3^{2} \times 7 \times 467 \]29421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 16776 |
| Square | 865595241 |
| Cube | 25466677585461 |
| Square root | 171.525508 (= 3√3269) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9421 × |
29421 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and twenty-one |
| Binary (base 2) | 111001011101101 |
| Octal (base 8) | 71355 |
| Hexadecimal (base 16) | 72ED |
| Base 3 | 1111100200 |
| As time | 29421 seconds = 8 h 10 min 21 s |
Is 29421 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 (29421 ÷ 3 = 9807) | 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 | Yes (29421 ÷ 7 = 4203) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29421 ÷ 9 = 3269) | 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 7) | 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 29421 a prime number?
No. 29421 = × 7 × 467, so it is divisible by 3.
What are the factors of 29421?
1, 3, 7, 9, 21, 63, 467, 1401, 3269, 4203, 9807, 29421.
What is 29421 in binary?
111001011101101 (hexadecimal 72ED, octal 71355).
What is the square root of 29421?
About 171.5255, exactly 3√3269.
Is 29421 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29421?
It is a composite number with 12 divisors.