The number 52042
52042 is a composite number with 4 divisors. Its prime factorisation is 2 × 26021. Divisors (4): 1, 2, 26021, 52042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52042: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 26021, the product of two primes.
- 2
52042 is composite. Its prime factorisation is
- 3
The divisors add up to 78066; without 52042 itself that is 26024, so 52042 is deficient (26024 is less than 52042). Euler's totient φ(52042) = 26020 numbers up to 52042 share no factor with it.
- 4
The digits of 52042 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
\[ 52042 = 2 \times 26021 \]
52042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78066 |
| Euler totient φ(n) | 26020 |
| Square | 2708369764 |
| Cube | 140948979258088 |
| Square root | 228.127158 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2042 × |
52042 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and forty-two |
| Binary (base 2) | 1100101101001010 |
| Octal (base 8) | 145512 |
| Hexadecimal (base 16) | CB4A |
| Base 3 | 2122101111 |
| As time | 52042 seconds = 14 h 27 min 22 s |
Is 52042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52042 ÷ 2 = 26021) | 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 | 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 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 1) | 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 52042 a prime number?
No. 52042 = 2 × 26021, so it is divisible by 2.
What are the factors of 52042?
1, 2, 26021, 52042.
What is 52042 in binary?
1100101101001010 (hexadecimal CB4A, octal 145512).
What is the square root of 52042?
About 228.1272.
Is 52042 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52042?
52042 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 26021, the product of two primes.