The number 2188
2188 is a composite number with 6 divisors. Its prime factorisation is × 547. Divisors (6): 1, 2, 4, 547, 1094, 2188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2188: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2188 is composite. Its prime factorisation is
- 3
The divisors add up to 3836; without 2188 itself that is 1648, so 2188 is deficient (1648 is less than 2188). Euler's totient φ(2188) = 1092 numbers up to 2188 share no factor with it.
- 4
The digits of 2188 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2188 = 2^{2} \times 547 \]2188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3836 |
| Euler totient φ(n) | 1092 |
| Square | 4787344 |
| Cube | 10474708672 |
| Square root | 46.776062 (= 2√547) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.188 × |
2188 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and eighty-eight |
| Roman numerals | MMCLXXXVIII |
| Binary (base 2) | 100010001100 |
| Octal (base 8) | 4214 |
| Hexadecimal (base 16) | 88C |
| Base 3 | 10000001 |
| As time | 2188 seconds = 36 min 28 s |
Is 2188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2188 ÷ 2 = 1094) | 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 (2188 ÷ 4 = 547) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 2188 a prime number?
No. 2188 = × 547, so it is divisible by 2.
What are the factors of 2188?
1, 2, 4, 547, 1094, 2188.
What is 2188 in binary?
100010001100 (hexadecimal 88C, octal 4214).
What is the square root of 2188?
About 46.7761, exactly 2√547.
What is 2188 in Roman numerals?
MMCLXXXVIII.
Is 2188 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2188?
2188 is a happy number: repeatedly adding the squares of its digits reaches 1.