The number 6670
6670 is a triangular number: 1 + 2 + … + 115 = 6670. Its prime factorisation is 2 × 5 × 23 × 29. Divisors (16): 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6670: a triangular number: 1 + 2 + … + 115 = 6670.
- 2
6670 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 6670 itself that is 6290, so 6670 is deficient (6290 is less than 6670). Euler's totient φ(6670) = 2464 numbers up to 6670 share no factor with it.
- 4
The digits of 6670 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6670 = 2 \times 5 \times 23 \times 29 \]
6670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 2464 |
| Square | 44488900 |
| Cube | 296740963000 |
| Square root | 81.670068 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.67 × |
6670 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and seventy |
| Binary (base 2) | 1101000001110 |
| Octal (base 8) | 15016 |
| Hexadecimal (base 16) | 1A0E |
| Base 3 | 100011001 |
| As time | 6670 seconds = 1 h 51 min 10 s |
Is 6670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6670 ÷ 2 = 3335) | 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 (6670 ÷ 5 = 1334) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6670 ÷ 10 = 667) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6670 a prime number?
No. 6670 = 2 × 5 × 23 × 29, so it is divisible by 2.
What are the factors of 6670?
1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670.
What is 6670 in binary?
1101000001110 (hexadecimal 1A0E, octal 15016).
What is the square root of 6670?
About 81.6701.
Is 6670 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6670?
6670 is a triangular number: 1 + 2 + … + 115 = 6670.