The number 52029
52029 is a composite number with 16 divisors. Its prime factorisation is × 41 × 47. Divisors (16): 1, 3, 9, 27, 41, 47, 123, 141, 369, 423, 1107, 1269, 1927, 5781, 17343, 52029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52029 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 52029 itself that is 28611, so 52029 is deficient (28611 is less than 52029). Euler's totient φ(52029) = 33120 numbers up to 52029 share no factor with it.
- 4
The digits of 52029 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52029 = 3^{3} \times 41 \times 47 \]52029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 33120 |
| Square | 2707016841 |
| Cube | 140843379220389 |
| Square root | 228.098663 (= 3√5781) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.2029 × |
52029 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and twenty-nine |
| Binary (base 2) | 1100101100111101 |
| Octal (base 8) | 145475 |
| Hexadecimal (base 16) | CB3D |
| Base 3 | 2122101000 |
| As time | 52029 seconds = 14 h 27 min 9 s |
Is 52029 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 (52029 ÷ 3 = 17343) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52029 ÷ 9 = 5781) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 52029 a prime number?
No. 52029 = × 41 × 47, so it is divisible by 3.
What are the factors of 52029?
1, 3, 9, 27, 41, 47, 123, 141, 369, 423, 1107, 1269, 1927, 5781, 17343, 52029.
What is 52029 in binary?
1100101100111101 (hexadecimal CB3D, octal 145475).
What is the square root of 52029?
About 228.0987, exactly 3√5781.
Is 52029 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52029?
It is a composite number with 16 divisors.