The number 59984
59984 is a composite number with 20 divisors. Its prime factorisation is × 23 × 163. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 92, 163, 184, 326, 368, 652, 1304, 2608, 3749 … 59984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59984 is composite. Its prime factorisation is
- 3
The divisors add up to 122016; without 59984 itself that is 62032, so 59984 is abundant (62032 is more than 59984). Euler's totient φ(59984) = 28512 numbers up to 59984 share no factor with it.
- 4
The digits of 59984 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59984 = 2^{4} \times 23 \times 163 \]59984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 122016 |
| Euler totient φ(n) | 28512 |
| Square | 3598080256 |
| Cube | 215827246075904 |
| Square root | 244.916312 (= 4√3749) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 179 |
| Scientific notation | 5.9984 × |
59984 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and eighty-four |
| Binary (base 2) | 1110101001010000 |
| Octal (base 8) | 165120 |
| Hexadecimal (base 16) | EA50 |
| Base 3 | 10001021122 |
| As time | 59984 seconds = 16 h 39 min 44 s |
Is 59984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59984 ÷ 2 = 29992) | 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 (59984 ÷ 4 = 14996) | 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 1) | 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 (59984 ÷ 8 = 7498) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 59984 a prime number?
No. 59984 = × 23 × 163, so it is divisible by 2.
What are the factors of 59984?
1, 2, 4, 8, 16, 23, 46, 92, 163, 184, 326, 368, 652, 1304, 2608, 3749, 7498, 14996, 29992, 59984.
What is 59984 in binary?
1110101001010000 (hexadecimal EA50, octal 165120).
What is the square root of 59984?
About 244.9163, exactly 4√3749.
Is 59984 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 59984?
It is a composite number with 20 divisors.