The number 53889
53889 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 23 × 71. Divisors (16): 1, 3, 11, 23, 33, 69, 71, 213, 253, 759, 781, 1633, 2343, 4899, 17963, 53889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53889: a Harshad number: divisible by its digit sum 33.
- 2
53889 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 53889 itself that is 29055, so 53889 is deficient (29055 is less than 53889). Euler's totient φ(53889) = 30800 numbers up to 53889 share no factor with it.
- 4
The digits of 53889 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53889 = 3 \times 11 \times 23 \times 71 \]
53889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 30800 |
| Square | 2904024321 |
| Cube | 156494966634369 |
| Square root | 232.140044 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.3889 × |
53889 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and eighty-nine |
| Binary (base 2) | 1101001010000001 |
| Octal (base 8) | 151201 |
| Hexadecimal (base 16) | D281 |
| Base 3 | 2201220220 |
| As time | 53889 seconds = 14 h 58 min 9 s |
Is 53889 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53889 ÷ 3 = 17963) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53889 ÷ 11 = 4899) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53889 a prime number?
No. 53889 = 3 × 11 × 23 × 71, so it is divisible by 3.
What are the factors of 53889?
1, 3, 11, 23, 33, 69, 71, 213, 253, 759, 781, 1633, 2343, 4899, 17963, 53889.
What is 53889 in binary?
1101001010000001 (hexadecimal D281, octal 151201).
What is the square root of 53889?
About 232.1400.
Is 53889 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 53889?
53889 is a Harshad number: divisible by its digit sum 33.