The number 53968
53968 is a composite number with 10 divisors. Its prime factorisation is × 3373. Divisors (10): 1, 2, 4, 8, 16, 3373, 6746, 13492, 26984, 53968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53968 is composite. Its prime factorisation is
- 3
The divisors add up to 104594; without 53968 itself that is 50626, so 53968 is deficient (50626 is less than 53968). Euler's totient φ(53968) = 26976 numbers up to 53968 share no factor with it.
- 4
The digits of 53968 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53968 = 2^{4} \times 3373 \]53968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 104594 |
| Euler totient φ(n) | 26976 |
| Square | 2912545024 |
| Cube | 157184229855232 |
| Square root | 232.310138 (= 4√3373) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3968 × |
53968 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and sixty-eight |
| Binary (base 2) | 1101001011010000 |
| Octal (base 8) | 151320 |
| Hexadecimal (base 16) | D2D0 |
| Base 3 | 2202000211 |
| As time | 53968 seconds = 14 h 59 min 28 s |
Is 53968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53968 ÷ 2 = 26984) | 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 (53968 ÷ 4 = 13492) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 (53968 ÷ 8 = 6746) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 53968 a prime number?
No. 53968 = × 3373, so it is divisible by 2.
What are the factors of 53968?
1, 2, 4, 8, 16, 3373, 6746, 13492, 26984, 53968.
What is 53968 in binary?
1101001011010000 (hexadecimal D2D0, octal 151320).
What is the square root of 53968?
About 232.3101, exactly 4√3373.
Is 53968 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 53968?
It is a composite number with 10 divisors.