The number 29133
29133 is a composite number with 16 divisors. Its prime factorisation is × 13 × 83. Divisors (16): 1, 3, 9, 13, 27, 39, 83, 117, 249, 351, 747, 1079, 2241, 3237, 9711, 29133.
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How to work it out
- 1
29133 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29133 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 29133 itself that is 17907, so 29133 is deficient (17907 is less than 29133). Euler's totient φ(29133) = 17712 numbers up to 29133 share no factor with it.
- 4
The digits of 29133 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29133 = 3^{3} \times 13 \times 83 \]29133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 17712 |
| Square | 848731689 |
| Cube | 24726100295637 |
| Square root | 170.683918 (= 3√3237) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9133 × |
29133 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and thirty-three |
| Binary (base 2) | 111000111001101 |
| Octal (base 8) | 70715 |
| Hexadecimal (base 16) | 71CD |
| Base 3 | 1110222000 |
| As time | 29133 seconds = 8 h 5 min 33 s |
Is 29133 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 (29133 ÷ 3 = 9711) | 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29133 ÷ 9 = 3237) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 29133 a prime number?
No. 29133 = × 13 × 83, so it is divisible by 3.
What are the factors of 29133?
1, 3, 9, 13, 27, 39, 83, 117, 249, 351, 747, 1079, 2241, 3237, 9711, 29133.
What is 29133 in binary?
111000111001101 (hexadecimal 71CD, octal 70715).
What is the square root of 29133?
About 170.6839, exactly 3√3237.
Is 29133 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29133?
It is a composite number with 16 divisors.