The number 52500
52500 is a composite number with 60 divisors. Its prime factorisation is × 3 × × 7. Divisors (60): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30 … 52500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52500: a Harshad number: divisible by its digit sum 12.
- 2
52500 is composite. Its prime factorisation is
- 3
The divisors add up to 174944; without 52500 itself that is 122444, so 52500 is abundant (122444 is more than 52500). Euler's totient φ(52500) = 12000 numbers up to 52500 share no factor with it.
- 4
The digits of 52500 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52500 = 2^{2} \times 3 \times 5^{4} \times 7 \]52500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 174944 |
| Euler totient φ(n) | 12000 |
| Square | 2756250000 |
| Cube | 144703125000000 |
| Square root | 229.128785 (= 50√21) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.25 × |
52500 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand five hundred |
| Binary (base 2) | 1100110100010100 |
| Octal (base 8) | 146424 |
| Hexadecimal (base 16) | CD14 |
| Base 3 | 2200000110 |
| As time | 52500 seconds = 14 h 35 min 0 s |
Is 52500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52500 ÷ 2 = 26250) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52500 ÷ 3 = 17500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52500 ÷ 4 = 13125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52500 ÷ 5 = 10500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52500 ÷ 6 = 8750) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52500 ÷ 7 = 7500) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52500 ÷ 10 = 5250) | 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 (52500 ÷ 12 = 4375) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52500 a prime number?
No. 52500 = × 3 × × 7, so it is divisible by 2.
What are the factors of 52500?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 125, 140, 150, 175, 210, 250, 300, 350, 375, 420, 500, 525, 625, 700, 750, 875, 1050, 1250, 1500, 1750, 1875, 2100, 2500, 2625, 3500, 3750, 4375, 5250, 7500, 8750, 10500, 13125, 17500, 26250, 52500.
What is 52500 in binary?
1100110100010100 (hexadecimal CD14, octal 146424).
What is the square root of 52500?
About 229.1288, exactly 50√21.
Is 52500 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 52500?
52500 is a Harshad number: divisible by its digit sum 12.