The number 6376
6376 is a composite number with 8 divisors. Its prime factorisation is × 797. Divisors (8): 1, 2, 4, 8, 797, 1594, 3188, 6376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6376: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6376 is composite. Its prime factorisation is
- 3
The divisors add up to 11970; without 6376 itself that is 5594, so 6376 is deficient (5594 is less than 6376). Euler's totient φ(6376) = 3184 numbers up to 6376 share no factor with it.
- 4
The digits of 6376 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6376 = 2^{3} \times 797 \]6376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11970 |
| Euler totient φ(n) | 3184 |
| Square | 40653376 |
| Cube | 259205925376 |
| Square root | 79.849859 (= 2√1594) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 6.376 × |
6376 in other forms
| Form | Value |
|---|---|
| In words | six thousand three hundred and seventy-six |
| Binary (base 2) | 1100011101000 |
| Octal (base 8) | 14350 |
| Hexadecimal (base 16) | 18E8 |
| Base 3 | 22202011 |
| As time | 6376 seconds = 1 h 46 min 16 s |
Is 6376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6376 ÷ 2 = 3188) | 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 | Yes (6376 ÷ 4 = 1594) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (6376 ÷ 8 = 797) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6376 a prime number?
No. 6376 = × 797, so it is divisible by 2.
What are the factors of 6376?
1, 2, 4, 8, 797, 1594, 3188, 6376.
What is 6376 in binary?
1100011101000 (hexadecimal 18E8, octal 14350).
What is the square root of 6376?
About 79.8499, exactly 2√1594.
Is 6376 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6376?
6376 is a happy number: repeatedly adding the squares of its digits reaches 1.