The number 63984
63984 is a composite number with 40 divisors. Its prime factorisation is × 3 × 31 × 43. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 43, 48, 62, 86, 93, 124 … 63984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
63984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
63984 is composite. Its prime factorisation is
- 3
The divisors add up to 174592; without 63984 itself that is 110608, so 63984 is abundant (110608 is more than 63984). Euler's totient φ(63984) = 20160 numbers up to 63984 share no factor with it.
- 4
The digits of 63984 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63984 = 2^{4} \times 3 \times 31 \times 43 \]63984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 174592 |
| Euler totient φ(n) | 20160 |
| Square | 4093952256 |
| Cube | 261947441147904 |
| Square root | 252.950588 (= 4√3999) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 192 |
| Scientific notation | 6.3984 × |
63984 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand nine hundred and eighty-four |
| Binary (base 2) | 1111100111110000 |
| Octal (base 8) | 174760 |
| Hexadecimal (base 16) | F9F0 |
| Base 3 | 10020202210 |
| As time | 63984 seconds = 17 h 46 min 24 s |
Is 63984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63984 ÷ 2 = 31992) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (63984 ÷ 3 = 21328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (63984 ÷ 4 = 15996) | 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 | Yes (63984 ÷ 6 = 10664) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (63984 ÷ 8 = 7998) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (63984 ÷ 12 = 5332) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 63984 a prime number?
No. 63984 = × 3 × 31 × 43, so it is divisible by 2.
What are the factors of 63984?
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 43, 48, 62, 86, 93, 124, 129, 172, 186, 248, 258, 344, 372, 496, 516, 688, 744, 1032, 1333, 1488, 2064, 2666, 3999, 5332, 7998, 10664, 15996, 21328, 31992, 63984.
What is 63984 in binary?
1111100111110000 (hexadecimal F9F0, octal 174760).
What is the square root of 63984?
About 252.9506, exactly 4√3999.
Is 63984 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 63984?
It is a composite number with 40 divisors.