The number 10542
10542 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 251. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 251, 502, 753, 1506, 1757, 3514, 5271, 10542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10542 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 10542 itself that is 13650, so 10542 is abundant (13650 is more than 10542). Euler's totient φ(10542) = 3000 numbers up to 10542 share no factor with it.
- 4
The digits of 10542 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10542 = 2 \times 3 \times 7 \times 251 \]
10542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 3000 |
| Square | 111133764 |
| Cube | 1171572140088 |
| Square root | 102.674242 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0542 × |
10542 in other forms
| Form | Value |
|---|---|
| In words | ten thousand five hundred and forty-two |
| Binary (base 2) | 10100100101110 |
| Octal (base 8) | 24456 |
| Hexadecimal (base 16) | 292E |
| Base 3 | 112110110 |
| As time | 10542 seconds = 2 h 55 min 42 s |
Is 10542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10542 ÷ 2 = 5271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10542 ÷ 3 = 3514) | 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 (10542 ÷ 6 = 1757) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10542 ÷ 7 = 1506) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | 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 10542 a prime number?
No. 10542 = 2 × 3 × 7 × 251, so it is divisible by 2.
What are the factors of 10542?
1, 2, 3, 6, 7, 14, 21, 42, 251, 502, 753, 1506, 1757, 3514, 5271, 10542.
What is 10542 in binary?
10100100101110 (hexadecimal 292E, octal 24456).
What is the square root of 10542?
About 102.6742.
Is 10542 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10542?
It is a composite number with 16 divisors.