The number 10242
10242 is a composite number with 12 divisors. Its prime factorisation is 2 × × 569. Divisors (12): 1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10242: a Harshad number: divisible by its digit sum 9.
- 2
10242 is composite. Its prime factorisation is
- 3
The divisors add up to 22230; without 10242 itself that is 11988, so 10242 is abundant (11988 is more than 10242). Euler's totient φ(10242) = 3408 numbers up to 10242 share no factor with it.
- 4
The digits of 10242 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10242 = 2 \times 3^{2} \times 569 \]10242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22230 |
| Euler totient φ(n) | 3408 |
| Square | 104898564 |
| Cube | 1074371092488 |
| Square root | 101.202767 (= 3√1138) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0242 × |
10242 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and forty-two |
| Binary (base 2) | 10100000000010 |
| Octal (base 8) | 24002 |
| Hexadecimal (base 16) | 2802 |
| Base 3 | 112001100 |
| As time | 10242 seconds = 2 h 50 min 42 s |
Is 10242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10242 ÷ 2 = 5121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10242 ÷ 3 = 3414) | 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 | Yes (10242 ÷ 6 = 1707) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (10242 ÷ 9 = 1138) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10242 a prime number?
No. 10242 = 2 × × 569, so it is divisible by 2.
What are the factors of 10242?
1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242.
What is 10242 in binary?
10100000000010 (hexadecimal 2802, octal 24002).
What is the square root of 10242?
About 101.2028, exactly 3√1138.
Is 10242 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10242?
10242 is a Harshad number: divisible by its digit sum 9.