The number 55993
55993 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 421. Divisors (8): 1, 7, 19, 133, 421, 2947, 7999, 55993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55993 is composite. Its prime factorisation is
- 3
The divisors add up to 67520; without 55993 itself that is 11527, so 55993 is deficient (11527 is less than 55993). Euler's totient φ(55993) = 45360 numbers up to 55993 share no factor with it.
- 4
The digits of 55993 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55993 = 7 \times 19 \times 421 \]
55993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67520 |
| Euler totient φ(n) | 45360 |
| Square | 3135216049 |
| Cube | 175550152231657 |
| Square root | 236.628401 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5993 × |
55993 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and ninety-three |
| Binary (base 2) | 1101101010111001 |
| Octal (base 8) | 155271 |
| Hexadecimal (base 16) | DAB9 |
| Base 3 | 2211210211 |
| As time | 55993 seconds = 15 h 33 min 13 s |
Is 55993 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 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55993 ÷ 7 = 7999) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55993 a prime number?
No. 55993 = 7 × 19 × 421, so it is divisible by 7.
What are the factors of 55993?
1, 7, 19, 133, 421, 2947, 7999, 55993.
What is 55993 in binary?
1101101010111001 (hexadecimal DAB9, octal 155271).
What is the square root of 55993?
About 236.6284.
Is 55993 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 55993?
It is a composite number with 8 divisors.