The number 10388
10388 is a composite number with 18 divisors. Its prime factorisation is × × 53. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 371, 742, 1484, 2597 … 10388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10388 is composite. Its prime factorisation is
- 3
The divisors add up to 21546; without 10388 itself that is 11158, so 10388 is abundant (11158 is more than 10388). Euler's totient φ(10388) = 4368 numbers up to 10388 share no factor with it.
- 4
The digits of 10388 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10388 = 2^{2} \times 7^{2} \times 53 \]10388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 21546 |
| Euler totient φ(n) | 4368 |
| Square | 107910544 |
| Cube | 1120974731072 |
| Square root | 101.921538 (= 14√53) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0388 × |
10388 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and eighty-eight |
| Binary (base 2) | 10100010010100 |
| Octal (base 8) | 24224 |
| Hexadecimal (base 16) | 2894 |
| Base 3 | 112020202 |
| As time | 10388 seconds = 2 h 53 min 8 s |
Is 10388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10388 ÷ 2 = 5194) | 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 (10388 ÷ 4 = 2597) | 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 | Yes (10388 ÷ 7 = 1484) | 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 2) | 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 4) | 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 10388 a prime number?
No. 10388 = × × 53, so it is divisible by 2.
What are the factors of 10388?
1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 371, 742, 1484, 2597, 5194, 10388.
What is 10388 in binary?
10100010010100 (hexadecimal 2894, octal 24224).
What is the square root of 10388?
About 101.9215, exactly 14√53.
Is 10388 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 10388?
It is a composite number with 18 divisors.