The number 64004
64004 is a composite number with 6 divisors. Its prime factorisation is × 16001. Divisors (6): 1, 2, 4, 16001, 32002, 64004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
64004 is composite. Its prime factorisation is
- 3
The divisors add up to 112014; without 64004 itself that is 48010, so 64004 is deficient (48010 is less than 64004). Euler's totient φ(64004) = 32000 numbers up to 64004 share no factor with it.
- 4
The digits of 64004 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64004 = 2^{2} \times 16001 \]64004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 112014 |
| Euler totient φ(n) | 32000 |
| Square | 4096512016 |
| Cube | 262193155072064 |
| Square root | 252.990118 (= 2√16001) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.4004 × |
64004 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and four |
| Binary (base 2) | 1111101000000100 |
| Octal (base 8) | 175004 |
| Hexadecimal (base 16) | FA04 |
| Base 3 | 10020210112 |
| As time | 64004 seconds = 17 h 46 min 44 s |
Is 64004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64004 ÷ 2 = 32002) | 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 (64004 ÷ 4 = 16001) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64004 a prime number?
No. 64004 = × 16001, so it is divisible by 2.
What are the factors of 64004?
1, 2, 4, 16001, 32002, 64004.
What is 64004 in binary?
1111101000000100 (hexadecimal FA04, octal 175004).
What is the square root of 64004?
About 252.9901, exactly 2√16001.
Is 64004 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 64004?
64004 is a happy number: repeatedly adding the squares of its digits reaches 1.