The number 5242
5242 is a composite number with 4 divisors. Its prime factorisation is 2 × 2621. Divisors (4): 1, 2, 2621, 5242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5242: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 2621, the product of two primes.
- 2
5242 is composite. Its prime factorisation is
- 3
The divisors add up to 7866; without 5242 itself that is 2624, so 5242 is deficient (2624 is less than 5242). Euler's totient φ(5242) = 2620 numbers up to 5242 share no factor with it.
- 4
The digits of 5242 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5242 = 2 \times 2621 \]
5242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7866 |
| Euler totient φ(n) | 2620 |
| Square | 27478564 |
| Cube | 144042632488 |
| Square root | 72.401657 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.242 × |
5242 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and forty-two |
| Binary (base 2) | 1010001111010 |
| Octal (base 8) | 12172 |
| Hexadecimal (base 16) | 147A |
| Base 3 | 21012011 |
| As time | 5242 seconds = 1 h 27 min 22 s |
Is 5242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5242 ÷ 2 = 2621) | 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 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 | 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 6) | 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 5242 a prime number?
No. 5242 = 2 × 2621, so it is divisible by 2.
What are the factors of 5242?
1, 2, 2621, 5242.
What is 5242 in binary?
1010001111010 (hexadecimal 147A, octal 12172).
What is the square root of 5242?
About 72.4017.
Is 5242 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5242?
5242 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 2621, the product of two primes.