The number 1670
1670 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 167. Divisors (8): 1, 2, 5, 10, 167, 334, 835, 1670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1670: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1670 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1670 itself that is 1354, so 1670 is deficient (1354 is less than 1670). Euler's totient φ(1670) = 664 numbers up to 1670 share no factor with it.
- 4
The digits of 1670 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1670 = 2 \times 5 \times 167 \]
1670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 664 |
| Square | 2788900 |
| Cube | 4657463000 |
| Square root | 40.865633 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.67 × |
1670 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and seventy |
| Roman numerals | MDCLXX |
| Binary (base 2) | 11010000110 |
| Octal (base 8) | 3206 |
| Hexadecimal (base 16) | 686 |
| Base 3 | 2021212 |
| As time | 1670 seconds = 27 min 50 s |
Is 1670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1670 ÷ 2 = 835) | 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 | Yes (1670 ÷ 5 = 334) | 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 | No (remainder 4) | 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 | Yes (1670 ÷ 10 = 167) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 1670 a prime number?
No. 1670 = 2 × 5 × 167, so it is divisible by 2.
What are the factors of 1670?
1, 2, 5, 10, 167, 334, 835, 1670.
What is 1670 in binary?
11010000110 (hexadecimal 686, octal 3206).
What is the square root of 1670?
About 40.8656.
What is 1670 in Roman numerals?
MDCLXX.
Is 1670 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1670?
1670 is a happy number: repeatedly adding the squares of its digits reaches 1.