The number 10389
10389 is a composite number with 4 divisors. Its prime factorisation is 3 × 3463. Divisors (4): 1, 3, 3463, 10389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10389: a semiprime: 3 × 3463, the product of two primes.
- 2
10389 is composite. Its prime factorisation is
- 3
The divisors add up to 13856; without 10389 itself that is 3467, so 10389 is deficient (3467 is less than 10389). Euler's totient φ(10389) = 6924 numbers up to 10389 share no factor with it.
- 4
The digits of 10389 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10389 = 3 \times 3463 \]
10389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13856 |
| Euler totient φ(n) | 6924 |
| Square | 107931321 |
| Cube | 1121298493869 |
| Square root | 101.926444 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0389 × |
10389 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and eighty-nine |
| Binary (base 2) | 10100010010101 |
| Octal (base 8) | 24225 |
| Hexadecimal (base 16) | 2895 |
| Base 3 | 112020210 |
| As time | 10389 seconds = 2 h 53 min 9 s |
Is 10389 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10389 ÷ 3 = 3463) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10389 a prime number?
No. 10389 = 3 × 3463, so it is divisible by 3.
What are the factors of 10389?
1, 3, 3463, 10389.
What is 10389 in binary?
10100010010101 (hexadecimal 2895, octal 24225).
What is the square root of 10389?
About 101.9264.
Is 10389 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 10389?
10389 is a semiprime: 3 × 3463, the product of two primes.