The number 52200
52200 is a composite number with 72 divisors. Its prime factorisation is × × × 29. Divisors (72): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 29 … 52200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52200: a Harshad number: divisible by its digit sum 9.
- 2
52200 is composite. Its prime factorisation is
- 3
The divisors add up to 181350; without 52200 itself that is 129150, so 52200 is abundant (129150 is more than 52200). Euler's totient φ(52200) = 13440 numbers up to 52200 share no factor with it.
- 4
The digits of 52200 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52200 = 2^{3} \times 3^{2} \times 5^{2} \times 29 \]52200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 181350 |
| Euler totient φ(n) | 13440 |
| Square | 2724840000 |
| Cube | 142236648000000 |
| Square root | 228.473193 (= 30√58) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.22 × |
52200 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred |
| Binary (base 2) | 1100101111101000 |
| Octal (base 8) | 145750 |
| Hexadecimal (base 16) | CBE8 |
| Base 3 | 2122121100 |
| As time | 52200 seconds = 14 h 30 min 0 s |
Is 52200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52200 ÷ 2 = 26100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52200 ÷ 3 = 17400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52200 ÷ 4 = 13050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52200 ÷ 5 = 10440) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52200 ÷ 6 = 8700) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (52200 ÷ 8 = 6525) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52200 ÷ 9 = 5800) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52200 ÷ 10 = 5220) | 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 | Yes (52200 ÷ 12 = 4350) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52200 a prime number?
No. 52200 = × × × 29, so it is divisible by 2.
What are the factors of 52200?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 29, 30, 36, 40, 45, 50, 58, 60, 72, 75, 87, 90, 100, 116, 120, 145, 150, 174, 180, 200, 225, 232, 261, 290, 300, 348, 360, 435, 450, 522, 580, 600, 696, 725, 870, 900, 1044, 1160, 1305, 1450, 1740, 1800, 2088, 2175, 2610, 2900, 3480, 4350, 5220, 5800, 6525, 8700, 10440, 13050, 17400, 26100, 52200.
What is 52200 in binary?
1100101111101000 (hexadecimal CBE8, octal 145750).
What is the square root of 52200?
About 228.4732, exactly 30√58.
Is 52200 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 52200?
52200 is a Harshad number: divisible by its digit sum 9.