The number 52000
52000 is a composite number with 48 divisors. Its prime factorisation is × × 13. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65 … 52000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52000 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 52000 itself that is 85592, so 52000 is abundant (85592 is more than 52000). Euler's totient φ(52000) = 19200 numbers up to 52000 share no factor with it.
- 4
The digits of 52000 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52000 = 2^{5} \times 5^{3} \times 13 \]52000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 19200 |
| Square | 2704000000 |
| Cube | 140608000000000 |
| Square root | 228.035085 (= 20√130) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2 × |
52000 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand |
| Binary (base 2) | 1100101100100000 |
| Octal (base 8) | 145440 |
| Hexadecimal (base 16) | CB20 |
| Base 3 | 2122022221 |
| As time | 52000 seconds = 14 h 26 min 40 s |
Is 52000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52000 ÷ 2 = 26000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52000 ÷ 4 = 13000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52000 ÷ 5 = 10400) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (52000 ÷ 8 = 6500) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52000 ÷ 10 = 5200) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52000 a prime number?
No. 52000 = × × 13, so it is divisible by 2.
What are the factors of 52000?
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 125, 130, 160, 200, 208, 250, 260, 325, 400, 416, 500, 520, 650, 800, 1000, 1040, 1300, 1625, 2000, 2080, 2600, 3250, 4000, 5200, 6500, 10400, 13000, 26000, 52000.
What is 52000 in binary?
1100101100100000 (hexadecimal CB20, octal 145440).
What is the square root of 52000?
About 228.0351, exactly 20√130.
Is 52000 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 52000?
It is a composite number with 48 divisors.