The number 64232
64232 is a taxicab number: it is the sum of two cubes in 2 ways (17³ + 39³ and 26³ + 36³). Its prime factorisation is × 7 × 31 × 37. Divisors (32): 1, 2, 4, 7, 8, 14, 28, 31, 37, 56, 62, 74, 124, 148, 217, 248 … 64232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64232: a taxicab number: it is the sum of two cubes in 2 ways (17³ + 39³ and 26³ + 36³).
- 2
64232 is composite. Its prime factorisation is
- 3
The divisors add up to 145920; without 64232 itself that is 81688, so 64232 is abundant (81688 is more than 64232). Euler's totient φ(64232) = 25920 numbers up to 64232 share no factor with it.
- 4
The digits of 64232 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64232 = 2^{3} \times 7 \times 31 \times 37 \]64232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 145920 |
| Euler totient φ(n) | 25920 |
| Square | 4125749824 |
| Cube | 265005162695168 |
| Square root | 253.440328 (= 2√16058) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.4232 × |
64232 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand two hundred and thirty-two |
| Binary (base 2) | 1111101011101000 |
| Octal (base 8) | 175350 |
| Hexadecimal (base 16) | FAE8 |
| Base 3 | 10021002222 |
| As time | 64232 seconds = 17 h 50 min 32 s |
Is 64232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64232 ÷ 2 = 32116) | 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 (64232 ÷ 4 = 16058) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (64232 ÷ 7 = 9176) | 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 (64232 ÷ 8 = 8029) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64232 a prime number?
No. 64232 = × 7 × 31 × 37, so it is divisible by 2.
What are the factors of 64232?
1, 2, 4, 7, 8, 14, 28, 31, 37, 56, 62, 74, 124, 148, 217, 248, 259, 296, 434, 518, 868, 1036, 1147, 1736, 2072, 2294, 4588, 8029, 9176, 16058, 32116, 64232.
What is 64232 in binary?
1111101011101000 (hexadecimal FAE8, octal 175350).
What is the square root of 64232?
About 253.4403, exactly 2√16058.
Is 64232 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 64232?
64232 is a taxicab number: it is the sum of two cubes in 2 ways (17³ + 39³ and 26³ + 36³).