The number 29004
29004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2417. Divisors (12): 1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502, 29004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29004 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 29004 itself that is 38700, so 29004 is abundant (38700 is more than 29004). Euler's totient φ(29004) = 9664 numbers up to 29004 share no factor with it.
- 4
The digits of 29004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29004 = 2^{2} \times 3 \times 2417 \]29004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 9664 |
| Square | 841232016 |
| Cube | 24399093392064 |
| Square root | 170.305608 (= 2√7251) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9004 × |
29004 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and four |
| Binary (base 2) | 111000101001100 |
| Octal (base 8) | 70514 |
| Hexadecimal (base 16) | 714C |
| Base 3 | 1110210020 |
| As time | 29004 seconds = 8 h 3 min 24 s |
Is 29004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29004 ÷ 2 = 14502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29004 ÷ 3 = 9668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29004 ÷ 4 = 7251) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29004 ÷ 6 = 4834) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29004 ÷ 12 = 2417) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29004 a prime number?
No. 29004 = × 3 × 2417, so it is divisible by 2.
What are the factors of 29004?
1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502, 29004.
What is 29004 in binary?
111000101001100 (hexadecimal 714C, octal 70514).
What is the square root of 29004?
About 170.3056, exactly 2√7251.
Is 29004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 29004?
It is a composite number with 12 divisors.