The number 52400
52400 is a composite number with 30 divisors. Its prime factorisation is × × 131. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 131, 200, 262 … 52400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52400 is composite. Its prime factorisation is
- 3
The divisors add up to 126852; without 52400 itself that is 74452, so 52400 is abundant (74452 is more than 52400). Euler's totient φ(52400) = 20800 numbers up to 52400 share no factor with it.
- 4
The digits of 52400 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52400 = 2^{4} \times 5^{2} \times 131 \]52400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 126852 |
| Euler totient φ(n) | 20800 |
| Square | 2745760000 |
| Cube | 143877824000000 |
| Square root | 228.910463 (= 20√131) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.24 × |
52400 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred |
| Binary (base 2) | 1100110010110000 |
| Octal (base 8) | 146260 |
| Hexadecimal (base 16) | CCB0 |
| Base 3 | 2122212202 |
| As time | 52400 seconds = 14 h 33 min 20 s |
Is 52400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52400 ÷ 2 = 26200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52400 ÷ 4 = 13100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52400 ÷ 5 = 10480) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (52400 ÷ 8 = 6550) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52400 ÷ 10 = 5240) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52400 a prime number?
No. 52400 = × × 131, so it is divisible by 2.
What are the factors of 52400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 131, 200, 262, 400, 524, 655, 1048, 1310, 2096, 2620, 3275, 5240, 6550, 10480, 13100, 26200, 52400.
What is 52400 in binary?
1100110010110000 (hexadecimal CCB0, octal 146260).
What is the square root of 52400?
About 228.9105, exactly 20√131.
Is 52400 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 52400?
It is a composite number with 30 divisors.