The number 29406
29406 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 29. Divisors (24): 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 169, 174, 338, 377, 507 … 29406.
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How to work it out
- 1
29406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29406 is composite. Its prime factorisation is
- 3
The divisors add up to 65880; without 29406 itself that is 36474, so 29406 is abundant (36474 is more than 29406). Euler's totient φ(29406) = 8736 numbers up to 29406 share no factor with it.
- 4
The digits of 29406 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29406 = 2 \times 3 \times 13^{2} \times 29 \]29406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 65880 |
| Euler totient φ(n) | 8736 |
| Square | 864712836 |
| Cube | 25427745655416 |
| Square root | 171.481777 (= 13√174) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9406 × |
29406 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and six |
| Binary (base 2) | 111001011011110 |
| Octal (base 8) | 71336 |
| Hexadecimal (base 16) | 72DE |
| Base 3 | 1111100010 |
| As time | 29406 seconds = 8 h 10 min 6 s |
Is 29406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29406 ÷ 2 = 14703) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29406 ÷ 3 = 9802) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (29406 ÷ 6 = 4901) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29406 a prime number?
No. 29406 = 2 × 3 × × 29, so it is divisible by 2.
What are the factors of 29406?
1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 169, 174, 338, 377, 507, 754, 1014, 1131, 2262, 4901, 9802, 14703, 29406.
What is 29406 in binary?
111001011011110 (hexadecimal 72DE, octal 71336).
What is the square root of 29406?
About 171.4818, exactly 13√174.
Is 29406 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29406?
It is a composite number with 24 divisors.