The number 10509
10509 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 113. Divisors (8): 1, 3, 31, 93, 113, 339, 3503, 10509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10509 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10509 is composite. Its prime factorisation is
- 3
The divisors add up to 14592; without 10509 itself that is 4083, so 10509 is deficient (4083 is less than 10509). Euler's totient φ(10509) = 6720 numbers up to 10509 share no factor with it.
- 4
The digits of 10509 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10509 = 3 \times 31 \times 113 \]
10509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14592 |
| Euler totient φ(n) | 6720 |
| Square | 110439081 |
| Cube | 1160604302229 |
| Square root | 102.513414 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.0509 × |
10509 in other forms
| Form | Value |
|---|---|
| In words | ten thousand five hundred and nine |
| Binary (base 2) | 10100100001101 |
| Octal (base 8) | 24415 |
| Hexadecimal (base 16) | 290D |
| Base 3 | 112102020 |
| As time | 10509 seconds = 2 h 55 min 9 s |
Is 10509 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 (10509 ÷ 3 = 3503) | 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 2) | 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 6) | 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 4) | 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 10509 a prime number?
No. 10509 = 3 × 31 × 113, so it is divisible by 3.
What are the factors of 10509?
1, 3, 31, 93, 113, 339, 3503, 10509.
What is 10509 in binary?
10100100001101 (hexadecimal 290D, octal 24415).
What is the square root of 10509?
About 102.5134.
Is 10509 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10509?
It is a composite number with 8 divisors.