The number 6364
6364 is a composite number with 12 divisors. Its prime factorisation is × 37 × 43. Divisors (12): 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364.
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How to work it out
- 1
What is special about 6364: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6364 is composite. Its prime factorisation is
- 3
The divisors add up to 11704; without 6364 itself that is 5340, so 6364 is deficient (5340 is less than 6364). Euler's totient φ(6364) = 3024 numbers up to 6364 share no factor with it.
- 4
The digits of 6364 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6364 = 2^{2} \times 37 \times 43 \]6364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11704 |
| Euler totient φ(n) | 3024 |
| Square | 40500496 |
| Cube | 257745156544 |
| Square root | 79.774683 (= 2√1591) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.364 × |
6364 in other forms
| Form | Value |
|---|---|
| In words | six thousand three hundred and sixty-four |
| Binary (base 2) | 1100011011100 |
| Octal (base 8) | 14334 |
| Hexadecimal (base 16) | 18DC |
| Base 3 | 22201201 |
| As time | 6364 seconds = 1 h 46 min 4 s |
Is 6364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6364 ÷ 2 = 3182) | 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 (6364 ÷ 4 = 1591) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 4) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 6364 a prime number?
No. 6364 = × 37 × 43, so it is divisible by 2.
What are the factors of 6364?
1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364.
What is 6364 in binary?
1100011011100 (hexadecimal 18DC, octal 14334).
What is the square root of 6364?
About 79.7747, exactly 2√1591.
Is 6364 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6364?
6364 is a happy number: repeatedly adding the squares of its digits reaches 1.