The number 10309
10309 is a composite number with 6 divisors. Its prime factorisation is Ć 61. Divisors (6): 1, 13, 61, 169, 793, 10309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10309: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.
- 2
10309 is composite. Its prime factorisation is
- 3
The divisors add up to 11346; without 10309 itself that is 1037, so 10309 is deficient (1037 is less than 10309). Euler's totient Ļ(10309) = 9360 numbers up to 10309 share no factor with it.
- 4
The digits of 10309 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10309 = 13^{2} \times 61 \]10309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11346 |
| Euler totient Ļ(n) | 9360 |
| Square | 106275481 |
| Cube | 1095593933629 |
| Square root | 101.533246 (= 13ā61) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.0309 Ć |
10309 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and nine |
| Binary (base 2) | 10100001000101 |
| Octal (base 8) | 24105 |
| Hexadecimal (base 16) | 2845 |
| Base 3 | 112010211 |
| As time | 10309 seconds = 2 h 51 min 49 s |
Is 10309 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10309 a prime number?
No. 10309 = Ć 61, so it is divisible by 13.
What are the factors of 10309?
1, 13, 61, 169, 793, 10309.
What is 10309 in binary?
10100001000101 (hexadecimal 2845, octal 24105).
What is the square root of 10309?
About 101.5332, exactly 13ā61.
Is 10309 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10309?
10309 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.