The number 55600
55600 is a composite number with 30 divisors. Its prime factorisation is × × 139. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 139, 200, 278 … 55600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55600: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
55600 is composite. Its prime factorisation is
- 3
The divisors add up to 134540; without 55600 itself that is 78940, so 55600 is abundant (78940 is more than 55600). Euler's totient φ(55600) = 22080 numbers up to 55600 share no factor with it.
- 4
The digits of 55600 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55600 = 2^{4} \times 5^{2} \times 139 \]55600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 134540 |
| Euler totient φ(n) | 22080 |
| Square | 3091360000 |
| Cube | 171879616000000 |
| Square root | 235.796522 (= 20√139) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.56 × |
55600 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred |
| Binary (base 2) | 1101100100110000 |
| Octal (base 8) | 154460 |
| Hexadecimal (base 16) | D930 |
| Base 3 | 2211021021 |
| As time | 55600 seconds = 15 h 26 min 40 s |
Is 55600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55600 ÷ 2 = 27800) | 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 (55600 ÷ 4 = 13900) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55600 ÷ 5 = 11120) | 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 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 | Yes (55600 ÷ 8 = 6950) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55600 ÷ 10 = 5560) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 55600 a prime number?
No. 55600 = × × 139, so it is divisible by 2.
What are the factors of 55600?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 139, 200, 278, 400, 556, 695, 1112, 1390, 2224, 2780, 3475, 5560, 6950, 11120, 13900, 27800, 55600.
What is 55600 in binary?
1101100100110000 (hexadecimal D930, octal 154460).
What is the square root of 55600?
About 235.7965, exactly 20√139.
Is 55600 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55600?
55600 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.