The number 53888
53888 is a composite number with 16 divisors. Its prime factorisation is × 421. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 421, 842, 1684, 3368, 6736, 13472, 26944, 53888.
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How to work it out
- 1
What is special about 53888: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 32.
- 2
53888 is composite. Its prime factorisation is
- 3
The divisors add up to 107610; without 53888 itself that is 53722, so 53888 is deficient (53722 is less than 53888). Euler's totient φ(53888) = 26880 numbers up to 53888 share no factor with it.
- 4
The digits of 53888 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53888 = 2^{7} \times 421 \]53888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107610 |
| Euler totient φ(n) | 26880 |
| Square | 2903916544 |
| Cube | 156486254723072 |
| Square root | 232.137890 (= 8√842) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3888 × |
53888 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and eighty-eight |
| Binary (base 2) | 1101001010000000 |
| Octal (base 8) | 151200 |
| Hexadecimal (base 16) | D280 |
| Base 3 | 2201220212 |
| As time | 53888 seconds = 14 h 58 min 8 s |
Is 53888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53888 ÷ 2 = 26944) | 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 (53888 ÷ 4 = 13472) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (53888 ÷ 8 = 6736) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | 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 53888 a prime number?
No. 53888 = × 421, so it is divisible by 2.
What are the factors of 53888?
1, 2, 4, 8, 16, 32, 64, 128, 421, 842, 1684, 3368, 6736, 13472, 26944, 53888.
What is 53888 in binary?
1101001010000000 (hexadecimal D280, octal 151200).
What is the square root of 53888?
About 232.1379, exactly 8√842.
Is 53888 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 53888?
53888 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 32.