The number 55800
55800 is a composite number with 72 divisors. Its prime factorisation is × × × 31. Divisors (72): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30 … 55800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55800: a Harshad number: divisible by its digit sum 18.
- 2
55800 is composite. Its prime factorisation is
- 3
The divisors add up to 193440; without 55800 itself that is 137640, so 55800 is abundant (137640 is more than 55800). Euler's totient φ(55800) = 14400 numbers up to 55800 share no factor with it.
- 4
The digits of 55800 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55800 = 2^{3} \times 3^{2} \times 5^{2} \times 31 \]55800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 193440 |
| Euler totient φ(n) | 14400 |
| Square | 3113640000 |
| Cube | 173741112000000 |
| Square root | 236.220236 (= 30√62) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.58 × |
55800 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred |
| Binary (base 2) | 1101100111111000 |
| Octal (base 8) | 154770 |
| Hexadecimal (base 16) | D9F8 |
| Base 3 | 2211112200 |
| As time | 55800 seconds = 15 h 30 min 0 s |
Is 55800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55800 ÷ 2 = 27900) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55800 ÷ 3 = 18600) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55800 ÷ 4 = 13950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55800 ÷ 5 = 11160) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55800 ÷ 6 = 9300) | 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 | Yes (55800 ÷ 8 = 6975) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55800 ÷ 9 = 6200) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55800 ÷ 10 = 5580) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55800 ÷ 12 = 4650) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55800 a prime number?
No. 55800 = × × × 31, so it is divisible by 2.
What are the factors of 55800?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 31, 36, 40, 45, 50, 60, 62, 72, 75, 90, 93, 100, 120, 124, 150, 155, 180, 186, 200, 225, 248, 279, 300, 310, 360, 372, 450, 465, 558, 600, 620, 744, 775, 900, 930, 1116, 1240, 1395, 1550, 1800, 1860, 2232, 2325, 2790, 3100, 3720, 4650, 5580, 6200, 6975, 9300, 11160, 13950, 18600, 27900, 55800.
What is 55800 in binary?
1101100111111000 (hexadecimal D9F8, octal 154770).
What is the square root of 55800?
About 236.2202, exactly 30√62.
Is 55800 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55800?
55800 is a Harshad number: divisible by its digit sum 18.