The number 52402
52402 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 197. Divisors (16): 1, 2, 7, 14, 19, 38, 133, 197, 266, 394, 1379, 2758, 3743, 7486, 26201, 52402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52402: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52402 is composite. Its prime factorisation is
- 3
The divisors add up to 95040; without 52402 itself that is 42638, so 52402 is deficient (42638 is less than 52402). Euler's totient φ(52402) = 21168 numbers up to 52402 share no factor with it.
- 4
The digits of 52402 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52402 = 2 \times 7 \times 19 \times 197 \]
52402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95040 |
| Euler totient φ(n) | 21168 |
| Square | 2745969604 |
| Cube | 143894299188808 |
| Square root | 228.914831 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.2402 × |
52402 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and two |
| Binary (base 2) | 1100110010110010 |
| Octal (base 8) | 146262 |
| Hexadecimal (base 16) | CCB2 |
| Base 3 | 2122212211 |
| As time | 52402 seconds = 14 h 33 min 22 s |
Is 52402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52402 ÷ 2 = 26201) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (52402 ÷ 7 = 7486) | 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 2) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52402 a prime number?
No. 52402 = 2 × 7 × 19 × 197, so it is divisible by 2.
What are the factors of 52402?
1, 2, 7, 14, 19, 38, 133, 197, 266, 394, 1379, 2758, 3743, 7486, 26201, 52402.
What is 52402 in binary?
1100110010110010 (hexadecimal CCB2, octal 146262).
What is the square root of 52402?
About 228.9148.
Is 52402 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52402?
52402 is a happy number: repeatedly adding the squares of its digits reaches 1.