The number 6370
6370 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 13. Divisors (24): 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182 … 6370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6370: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6370 is composite. Its prime factorisation is
- 3
The divisors add up to 14364; without 6370 itself that is 7994, so 6370 is abundant (7994 is more than 6370). Euler's totient φ(6370) = 2016 numbers up to 6370 share no factor with it.
- 4
The digits of 6370 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6370 = 2 \times 5 \times 7^{2} \times 13 \]6370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14364 |
| Euler totient φ(n) | 2016 |
| Square | 40576900 |
| Cube | 258474853000 |
| Square root | 79.812280 (= 7√130) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 31 |
| Scientific notation | 6.37 × |
6370 in other forms
| Form | Value |
|---|---|
| In words | six thousand three hundred and seventy |
| Binary (base 2) | 1100011100010 |
| Octal (base 8) | 14342 |
| Hexadecimal (base 16) | 18E2 |
| Base 3 | 22201221 |
| As time | 6370 seconds = 1 h 46 min 10 s |
Is 6370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6370 ÷ 2 = 3185) | 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 (6370 ÷ 5 = 1274) | 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 | Yes (6370 ÷ 7 = 910) | 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 2) | 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 (6370 ÷ 10 = 637) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 6370 a prime number?
No. 6370 = 2 × 5 × × 13, so it is divisible by 2.
What are the factors of 6370?
1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370.
What is 6370 in binary?
1100011100010 (hexadecimal 18E2, octal 14342).
What is the square root of 6370?
About 79.8123, exactly 7√130.
Is 6370 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6370?
6370 is a happy number: repeatedly adding the squares of its digits reaches 1.