The number 53984
53984 is a composite number with 24 divisors. Its prime factorisation is × 7 × 241. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 241, 482, 964, 1687 … 53984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53984 is composite. Its prime factorisation is
- 3
The divisors add up to 121968; without 53984 itself that is 67984, so 53984 is abundant (67984 is more than 53984). Euler's totient φ(53984) = 23040 numbers up to 53984 share no factor with it.
- 4
The digits of 53984 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53984 = 2^{5} \times 7 \times 241 \]53984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121968 |
| Euler totient φ(n) | 23040 |
| Square | 2914272256 |
| Cube | 157324073467904 |
| Square root | 232.344572 (= 4√3374) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3984 × |
53984 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and eighty-four |
| Binary (base 2) | 1101001011100000 |
| Octal (base 8) | 151340 |
| Hexadecimal (base 16) | D2E0 |
| Base 3 | 2202001102 |
| As time | 53984 seconds = 14 h 59 min 44 s |
Is 53984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53984 ÷ 2 = 26992) | 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 (53984 ÷ 4 = 13496) | 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 | Yes (53984 ÷ 7 = 7712) | 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 (53984 ÷ 8 = 6748) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 53984 a prime number?
No. 53984 = × 7 × 241, so it is divisible by 2.
What are the factors of 53984?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 7712, 13496, 26992, 53984.
What is 53984 in binary?
1101001011100000 (hexadecimal D2E0, octal 151340).
What is the square root of 53984?
About 232.3446, exactly 4√3374.
Is 53984 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 53984?
It is a composite number with 24 divisors.