The number 52240
52240 is a composite number with 20 divisors. Its prime factorisation is × 5 × 653. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 653, 1306, 2612, 3265, 5224, 6530 … 52240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52240: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52240 is composite. Its prime factorisation is
- 3
The divisors add up to 121644; without 52240 itself that is 69404, so 52240 is abundant (69404 is more than 52240). Euler's totient φ(52240) = 20864 numbers up to 52240 share no factor with it.
- 4
The digits of 52240 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52240 = 2^{4} \times 5 \times 653 \]52240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 121644 |
| Euler totient φ(n) | 20864 |
| Square | 2729017600 |
| Cube | 142563879424000 |
| Square root | 228.560714 (= 4√3265) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.224 × |
52240 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred and forty |
| Binary (base 2) | 1100110000010000 |
| Octal (base 8) | 146020 |
| Hexadecimal (base 16) | CC10 |
| Base 3 | 2122122211 |
| As time | 52240 seconds = 14 h 30 min 40 s |
Is 52240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52240 ÷ 2 = 26120) | 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 (52240 ÷ 4 = 13060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52240 ÷ 5 = 10448) | 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 6) | 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 (52240 ÷ 8 = 6530) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52240 ÷ 10 = 5224) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 52240 a prime number?
No. 52240 = × 5 × 653, so it is divisible by 2.
What are the factors of 52240?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 653, 1306, 2612, 3265, 5224, 6530, 10448, 13060, 26120, 52240.
What is 52240 in binary?
1100110000010000 (hexadecimal CC10, octal 146020).
What is the square root of 52240?
About 228.5607, exactly 4√3265.
Is 52240 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52240?
52240 is a happy number: repeatedly adding the squares of its digits reaches 1.