The number 29601
29601 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 23. Divisors (24): 1, 3, 9, 11, 13, 23, 33, 39, 69, 99, 117, 143, 207, 253, 299, 429 … 29601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29601 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 29601 itself that is 22815, so 29601 is deficient (22815 is less than 29601). Euler's totient φ(29601) = 15840 numbers up to 29601 share no factor with it.
- 4
The digits of 29601 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29601 = 3^{2} \times 11 \times 13 \times 23 \]29601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 15840 |
| Square | 876219201 |
| Cube | 25936964568801 |
| Square root | 172.049412 (= 3√3289) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9601 × |
29601 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and one |
| Binary (base 2) | 111001110100001 |
| Octal (base 8) | 71641 |
| Hexadecimal (base 16) | 73A1 |
| Base 3 | 1111121100 |
| As time | 29601 seconds = 8 h 13 min 21 s |
Is 29601 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 (29601 ÷ 3 = 9867) | 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 5) | 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 (29601 ÷ 9 = 3289) | 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 | Yes (29601 ÷ 11 = 2691) | 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 29601 a prime number?
No. 29601 = × 11 × 13 × 23, so it is divisible by 3.
What are the factors of 29601?
1, 3, 9, 11, 13, 23, 33, 39, 69, 99, 117, 143, 207, 253, 299, 429, 759, 897, 1287, 2277, 2691, 3289, 9867, 29601.
What is 29601 in binary?
111001110100001 (hexadecimal 73A1, octal 71641).
What is the square root of 29601?
About 172.0494, exactly 3√3289.
Is 29601 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29601?
It is a composite number with 24 divisors.