The number 2542
2542 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 41. Divisors (8): 1, 2, 31, 41, 62, 82, 1271, 2542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2542: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2542 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 2542 itself that is 1490, so 2542 is deficient (1490 is less than 2542). Euler's totient φ(2542) = 1200 numbers up to 2542 share no factor with it.
- 4
The digits of 2542 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2542 = 2 \times 31 \times 41 \]
2542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 1200 |
| Square | 6461764 |
| Cube | 16425804088 |
| Square root | 50.418251 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.542 × |
2542 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and forty-two |
| Roman numerals | MMDXLII |
| Binary (base 2) | 100111101110 |
| Octal (base 8) | 4756 |
| Hexadecimal (base 16) | 9EE |
| Base 3 | 10111011 |
| As time | 2542 seconds = 42 min 22 s |
Is 2542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2542 ÷ 2 = 1271) | 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 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 6) | 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 2542 a prime number?
No. 2542 = 2 × 31 × 41, so it is divisible by 2.
What are the factors of 2542?
1, 2, 31, 41, 62, 82, 1271, 2542.
What is 2542 in binary?
100111101110 (hexadecimal 9EE, octal 4756).
What is the square root of 2542?
About 50.4183.
What is 2542 in Roman numerals?
MMDXLII.
Is 2542 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2542?
2542 is a happy number: repeatedly adding the squares of its digits reaches 1.