The number 3542
3542 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 23. Divisors (16): 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3542: a Harshad number: divisible by its digit sum 14.
- 2
3542 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 3542 itself that is 3370, so 3542 is deficient (3370 is less than 3542). Euler's totient φ(3542) = 1320 numbers up to 3542 share no factor with it.
- 4
The digits of 3542 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3542 = 2 \times 7 \times 11 \times 23 \]
3542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 1320 |
| Square | 12545764 |
| Cube | 44437096088 |
| Square root | 59.514704 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.542 × |
3542 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and forty-two |
| Roman numerals | MMMDXLII |
| Binary (base 2) | 110111010110 |
| Octal (base 8) | 6726 |
| Hexadecimal (base 16) | DD6 |
| Base 3 | 11212012 |
| As time | 3542 seconds = 59 min 2 s |
Is 3542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3542 ÷ 2 = 1771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3542 ÷ 7 = 506) | 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 5) | 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 | Yes (3542 ÷ 11 = 322) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3542 a prime number?
No. 3542 = 2 × 7 × 11 × 23, so it is divisible by 2.
What are the factors of 3542?
1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542.
What is 3542 in binary?
110111010110 (hexadecimal DD6, octal 6726).
What is the square root of 3542?
About 59.5147.
What is 3542 in Roman numerals?
MMMDXLII.
Is 3542 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3542?
3542 is a Harshad number: divisible by its digit sum 14.