The number 4388
4388 is a composite number with 6 divisors. Its prime factorisation is × 1097. Divisors (6): 1, 2, 4, 1097, 2194, 4388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4388 is composite. Its prime factorisation is
- 3
The divisors add up to 7686; without 4388 itself that is 3298, so 4388 is deficient (3298 is less than 4388). Euler's totient φ(4388) = 2192 numbers up to 4388 share no factor with it.
- 4
The digits of 4388 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4388 = 2^{2} \times 1097 \]4388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7686 |
| Euler totient φ(n) | 2192 |
| Square | 19254544 |
| Cube | 84488939072 |
| Square root | 66.241981 (= 2√1097) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.388 × |
4388 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and eighty-eight |
| Binary (base 2) | 1000100100100 |
| Octal (base 8) | 10444 |
| Hexadecimal (base 16) | 1124 |
| Base 3 | 20000112 |
| As time | 4388 seconds = 1 h 13 min 8 s |
Is 4388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4388 ÷ 2 = 2194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4388 ÷ 4 = 1097) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4388 a prime number?
No. 4388 = × 1097, so it is divisible by 2.
What are the factors of 4388?
1, 2, 4, 1097, 2194, 4388.
What is 4388 in binary?
1000100100100 (hexadecimal 1124, octal 10444).
What is the square root of 4388?
About 66.2420, exactly 2√1097.
Is 4388 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4388?
It is a composite number with 6 divisors.