The number 6464
6464 is a composite number with 14 divisors. Its prime factorisation is × 101. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6464 is composite. Its prime factorisation is
- 3
The divisors add up to 12954; without 6464 itself that is 6490, so 6464 is abundant (6490 is more than 6464). Euler's totient φ(6464) = 3200 numbers up to 6464 share no factor with it.
- 4
The digits of 6464 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6464 = 2^{6} \times 101 \]6464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 12954 |
| Euler totient φ(n) | 3200 |
| Square | 41783296 |
| Cube | 270087225344 |
| Square root | 80.399005 (= 8√101) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 31 |
| Scientific notation | 6.464 × |
6464 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and sixty-four |
| Binary (base 2) | 1100101000000 |
| Octal (base 8) | 14500 |
| Hexadecimal (base 16) | 1940 |
| Base 3 | 22212102 |
| As time | 6464 seconds = 1 h 47 min 44 s |
Is 6464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6464 ÷ 2 = 3232) | 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 | Yes (6464 ÷ 4 = 1616) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (6464 ÷ 8 = 808) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6464 a prime number?
No. 6464 = × 101, so it is divisible by 2.
What are the factors of 6464?
1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464.
What is 6464 in binary?
1100101000000 (hexadecimal 1940, octal 14500).
What is the square root of 6464?
About 80.3990, exactly 8√101.
Is 6464 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6464?
It is a composite number with 14 divisors.