The number 3687
3687 is a binary palindrome (111001100111). Its prime factorisation is 3 × 1229. Divisors (4): 1, 3, 1229, 3687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3687: a binary palindrome (111001100111); a semiprime: 3 × 1229, the product of two primes.
- 2
3687 is composite. Its prime factorisation is
- 3
The divisors add up to 4920; without 3687 itself that is 1233, so 3687 is deficient (1233 is less than 3687). Euler's totient φ(3687) = 2456 numbers up to 3687 share no factor with it.
- 4
The digits of 3687 add up to 24, 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
\[ 3687 = 3 \times 1229 \]
3687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4920 |
| Euler totient φ(n) | 2456 |
| Square | 13593969 |
| Cube | 50120963703 |
| Square root | 60.720672 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.687 × |
3687 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and eighty-seven |
| Roman numerals | MMMDCLXXXVII |
| Binary (base 2) | 111001100111 |
| Octal (base 8) | 7147 |
| Hexadecimal (base 16) | E67 |
| Base 3 | 12001120 |
| As time | 3687 seconds = 1 h 1 min 27 s |
Is 3687 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3687 ÷ 3 = 1229) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3687 a prime number?
No. 3687 = 3 × 1229, so it is divisible by 3.
What are the factors of 3687?
1, 3, 1229, 3687.
What is 3687 in binary?
111001100111 (hexadecimal E67, octal 7147).
What is the square root of 3687?
About 60.7207.
What is 3687 in Roman numerals?
MMMDCLXXXVII.
Is 3687 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3687?
3687 is a binary palindrome (111001100111); a semiprime: 3 × 1229, the product of two primes.