The number 55999
55999 is a composite number with 4 divisors. Its prime factorisation is 29 × 1931. Divisors (4): 1, 29, 1931, 55999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55999: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1931, the product of two primes.
- 2
55999 is composite. Its prime factorisation is
- 3
The divisors add up to 57960; without 55999 itself that is 1961, so 55999 is deficient (1961 is less than 55999). Euler's totient φ(55999) = 54040 numbers up to 55999 share no factor with it.
- 4
The digits of 55999 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55999 = 29 \times 1931 \]
55999 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 57960 |
| Euler totient φ(n) | 54040 |
| Square | 3135888001 |
| Cube | 175606592167999 |
| Square root | 236.641078 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5999 × |
55999 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and ninety-nine |
| Binary (base 2) | 1101101010111111 |
| Octal (base 8) | 155277 |
| Hexadecimal (base 16) | DABF |
| Base 3 | 2211211001 |
| As time | 55999 seconds = 15 h 33 min 19 s |
Is 55999 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55999 a prime number?
No. 55999 = 29 × 1931, so it is divisible by 29.
What are the factors of 55999?
1, 29, 1931, 55999.
What is 55999 in binary?
1101101010111111 (hexadecimal DABF, octal 155277).
What is the square root of 55999?
About 236.6411.
Is 55999 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 55999?
55999 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1931, the product of two primes.