The number 52138
52138 is a composite number with 8 divisors. Its prime factorisation is 2 × 131 × 199. Divisors (8): 1, 2, 131, 199, 262, 398, 26069, 52138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52138: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52138 is composite. Its prime factorisation is
- 3
The divisors add up to 79200; without 52138 itself that is 27062, so 52138 is deficient (27062 is less than 52138). Euler's totient φ(52138) = 25740 numbers up to 52138 share no factor with it.
- 4
The digits of 52138 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52138 = 2 \times 131 \times 199 \]
52138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79200 |
| Euler totient φ(n) | 25740 |
| Square | 2718371044 |
| Cube | 141730429492072 |
| Square root | 228.337470 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.2138 × |
52138 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and thirty-eight |
| Binary (base 2) | 1100101110101010 |
| Octal (base 8) | 145652 |
| Hexadecimal (base 16) | CBAA |
| Base 3 | 2122112001 |
| As time | 52138 seconds = 14 h 28 min 58 s |
Is 52138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52138 ÷ 2 = 26069) | 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 3) | 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 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 52138 a prime number?
No. 52138 = 2 × 131 × 199, so it is divisible by 2.
What are the factors of 52138?
1, 2, 131, 199, 262, 398, 26069, 52138.
What is 52138 in binary?
1100101110101010 (hexadecimal CBAA, octal 145652).
What is the square root of 52138?
About 228.3375.
Is 52138 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 52138?
52138 is a happy number: repeatedly adding the squares of its digits reaches 1.