The number 10042
10042 is a composite number with 4 divisors. Its prime factorisation is 2 × 5021. Divisors (4): 1, 2, 5021, 10042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10042: a semiprime: 2 × 5021, the product of two primes.
- 2
10042 is composite. Its prime factorisation is
- 3
The divisors add up to 15066; without 10042 itself that is 5024, so 10042 is deficient (5024 is less than 10042). Euler's totient φ(10042) = 5020 numbers up to 10042 share no factor with it.
- 4
The digits of 10042 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10042 = 2 \times 5021 \]
10042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15066 |
| Euler totient φ(n) | 5020 |
| Square | 100841764 |
| Cube | 1012652994088 |
| Square root | 100.209780 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0042 × |
10042 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and forty-two |
| Binary (base 2) | 10011100111010 |
| Octal (base 8) | 23472 |
| Hexadecimal (base 16) | 273A |
| Base 3 | 111202221 |
| As time | 10042 seconds = 2 h 47 min 22 s |
Is 10042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10042 ÷ 2 = 5021) | 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 7) | 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 10) | 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 10042 a prime number?
No. 10042 = 2 × 5021, so it is divisible by 2.
What are the factors of 10042?
1, 2, 5021, 10042.
What is 10042 in binary?
10011100111010 (hexadecimal 273A, octal 23472).
What is the square root of 10042?
About 100.2098.
Is 10042 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10042?
10042 is a semiprime: 2 × 5021, the product of two primes.