The number 3670
3670 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 367. Divisors (8): 1, 2, 5, 10, 367, 734, 1835, 3670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3670: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3670 is composite. Its prime factorisation is
- 3
The divisors add up to 6624; without 3670 itself that is 2954, so 3670 is deficient (2954 is less than 3670). Euler's totient φ(3670) = 1464 numbers up to 3670 share no factor with it.
- 4
The digits of 3670 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3670 = 2 \times 5 \times 367 \]
3670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6624 |
| Euler totient φ(n) | 1464 |
| Square | 13468900 |
| Cube | 49430863000 |
| Square root | 60.580525 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.67 × |
3670 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy |
| Roman numerals | MMMDCLXX |
| Binary (base 2) | 111001010110 |
| Octal (base 8) | 7126 |
| Hexadecimal (base 16) | E56 |
| Base 3 | 12000221 |
| As time | 3670 seconds = 1 h 1 min 10 s |
Is 3670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3670 ÷ 2 = 1835) | 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 | Yes (3670 ÷ 5 = 734) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3670 ÷ 10 = 367) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 3670 a prime number?
No. 3670 = 2 × 5 × 367, so it is divisible by 2.
What are the factors of 3670?
1, 2, 5, 10, 367, 734, 1835, 3670.
What is 3670 in binary?
111001010110 (hexadecimal E56, octal 7126).
What is the square root of 3670?
About 60.5805.
What is 3670 in Roman numerals?
MMMDCLXX.
Is 3670 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3670?
3670 is a happy number: repeatedly adding the squares of its digits reaches 1.