The number 55900
55900 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 43. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 25, 26, 43, 50, 52, 65, 86, 100, 130 … 55900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55900 is composite. Its prime factorisation is
- 3
The divisors add up to 133672; without 55900 itself that is 77772, so 55900 is abundant (77772 is more than 55900). Euler's totient φ(55900) = 20160 numbers up to 55900 share no factor with it.
- 4
The digits of 55900 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55900 = 2^{2} \times 5^{2} \times 13 \times 43 \]55900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 133672 |
| Euler totient φ(n) | 20160 |
| Square | 3124810000 |
| Cube | 174676879000000 |
| Square root | 236.431808 (= 10√559) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.59 × |
55900 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred |
| Binary (base 2) | 1101101001011100 |
| Octal (base 8) | 155134 |
| Hexadecimal (base 16) | DA5C |
| Base 3 | 2211200101 |
| As time | 55900 seconds = 15 h 31 min 40 s |
Is 55900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55900 ÷ 2 = 27950) | 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 (55900 ÷ 4 = 13975) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55900 ÷ 5 = 11180) | 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 | No (remainder 4) | 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 | Yes (55900 ÷ 10 = 5590) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55900 a prime number?
No. 55900 = × × 13 × 43, so it is divisible by 2.
What are the factors of 55900?
1, 2, 4, 5, 10, 13, 20, 25, 26, 43, 50, 52, 65, 86, 100, 130, 172, 215, 260, 325, 430, 559, 650, 860, 1075, 1118, 1300, 2150, 2236, 2795, 4300, 5590, 11180, 13975, 27950, 55900.
What is 55900 in binary?
1101101001011100 (hexadecimal DA5C, octal 155134).
What is the square root of 55900?
About 236.4318, exactly 10√559.
Is 55900 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55900?
It is a composite number with 36 divisors.