The number 64672
64672 is a composite number with 24 divisors. Its prime factorisation is × 43 × 47. Divisors (24): 1, 2, 4, 8, 16, 32, 43, 47, 86, 94, 172, 188, 344, 376, 688, 752 … 64672.
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How to work it out
- 1
64672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64672 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 64672 itself that is 68384, so 64672 is abundant (68384 is more than 64672). Euler's totient φ(64672) = 30912 numbers up to 64672 share no factor with it.
- 4
The digits of 64672 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64672 = 2^{5} \times 43 \times 47 \]64672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 30912 |
| Square | 4182467584 |
| Cube | 270488543592448 |
| Square root | 254.306901 (= 4√4042) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.4672 × |
64672 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand six hundred and seventy-two |
| Binary (base 2) | 1111110010100000 |
| Octal (base 8) | 176240 |
| Hexadecimal (base 16) | FCA0 |
| Base 3 | 10021201021 |
| As time | 64672 seconds = 17 h 57 min 52 s |
Is 64672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64672 ÷ 2 = 32336) | 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 (64672 ÷ 4 = 16168) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (64672 ÷ 8 = 8084) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 64672 a prime number?
No. 64672 = × 43 × 47, so it is divisible by 2.
What are the factors of 64672?
1, 2, 4, 8, 16, 32, 43, 47, 86, 94, 172, 188, 344, 376, 688, 752, 1376, 1504, 2021, 4042, 8084, 16168, 32336, 64672.
What is 64672 in binary?
1111110010100000 (hexadecimal FCA0, octal 176240).
What is the square root of 64672?
About 254.3069, exactly 4√4042.
Is 64672 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 64672?
It is a composite number with 24 divisors.