The number 52420
52420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2621. Divisors (12): 1, 2, 4, 5, 10, 20, 2621, 5242, 10484, 13105, 26210, 52420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52420: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52420 is composite. Its prime factorisation is
- 3
The divisors add up to 110124; without 52420 itself that is 57704, so 52420 is abundant (57704 is more than 52420). Euler's totient φ(52420) = 20960 numbers up to 52420 share no factor with it.
- 4
The digits of 52420 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
\[ 52420 = 2^{2} \times 5 \times 2621 \]52420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110124 |
| Euler totient φ(n) | 20960 |
| Square | 2747856400 |
| Cube | 144042632488000 |
| Square root | 228.954144 (= 2√13105) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.242 × |
52420 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and twenty |
| Binary (base 2) | 1100110011000100 |
| Octal (base 8) | 146304 |
| Hexadecimal (base 16) | CCC4 |
| Base 3 | 2122220111 |
| As time | 52420 seconds = 14 h 33 min 40 s |
Is 52420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52420 ÷ 2 = 26210) | 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 (52420 ÷ 4 = 13105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52420 ÷ 5 = 10484) | 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 | No (remainder 4) | 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 (52420 ÷ 10 = 5242) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52420 a prime number?
No. 52420 = × 5 × 2621, so it is divisible by 2.
What are the factors of 52420?
1, 2, 4, 5, 10, 20, 2621, 5242, 10484, 13105, 26210, 52420.
What is 52420 in binary?
1100110011000100 (hexadecimal CCC4, octal 146304).
What is the square root of 52420?
About 228.9541, exactly 2√13105.
Is 52420 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52420?
52420 is a happy number: repeatedly adding the squares of its digits reaches 1.