The number 3642
3642 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 607. Divisors (8): 1, 2, 3, 6, 607, 1214, 1821, 3642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3642 is composite. Its prime factorisation is
- 3
The divisors add up to 7296; without 3642 itself that is 3654, so 3642 is abundant (3654 is more than 3642). Euler's totient φ(3642) = 1212 numbers up to 3642 share no factor with it.
- 4
The digits of 3642 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3642 = 2 \times 3 \times 607 \]
3642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7296 |
| Euler totient φ(n) | 1212 |
| Square | 13264164 |
| Cube | 48308085288 |
| Square root | 60.348985 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.642 × |
3642 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and forty-two |
| Roman numerals | MMMDCXLII |
| Binary (base 2) | 111000111010 |
| Octal (base 8) | 7072 |
| Hexadecimal (base 16) | E3A |
| Base 3 | 11222220 |
| As time | 3642 seconds = 1 h 0 min 42 s |
Is 3642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3642 ÷ 2 = 1821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3642 ÷ 3 = 1214) | 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 (3642 ÷ 6 = 607) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 3642 a prime number?
No. 3642 = 2 × 3 × 607, so it is divisible by 2.
What are the factors of 3642?
1, 2, 3, 6, 607, 1214, 1821, 3642.
What is 3642 in binary?
111000111010 (hexadecimal E3A, octal 7072).
What is the square root of 3642?
About 60.3490.
What is 3642 in Roman numerals?
MMMDCXLII.
Is 3642 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3642?
It is a composite number with 8 divisors.