The number 3667
3667 is a composite number with 4 divisors. Its prime factorisation is 19 × 193. Divisors (4): 1, 19, 193, 3667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3667: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 193, the product of two primes.
- 2
3667 is composite. Its prime factorisation is
- 3
The divisors add up to 3880; without 3667 itself that is 213, so 3667 is deficient (213 is less than 3667). Euler's totient φ(3667) = 3456 numbers up to 3667 share no factor with it.
- 4
The digits of 3667 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3667 = 19 \times 193 \]
3667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3880 |
| Euler totient φ(n) | 3456 |
| Square | 13446889 |
| Cube | 49309741963 |
| Square root | 60.555759 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.667 × |
3667 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and sixty-seven |
| Roman numerals | MMMDCLXVII |
| Binary (base 2) | 111001010011 |
| Octal (base 8) | 7123 |
| Hexadecimal (base 16) | E53 |
| Base 3 | 12000211 |
| As time | 3667 seconds = 1 h 1 min 7 s |
Is 3667 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3667 a prime number?
No. 3667 = 19 × 193, so it is divisible by 19.
What are the factors of 3667?
1, 19, 193, 3667.
What is 3667 in binary?
111001010011 (hexadecimal E53, octal 7123).
What is the square root of 3667?
About 60.5558.
What is 3667 in Roman numerals?
MMMDCLXVII.
Is 3667 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3667?
3667 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 193, the product of two primes.