The number 23309
23309 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 163. Divisors (8): 1, 11, 13, 143, 163, 1793, 2119, 23309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23309: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23309 is composite. Its prime factorisation is
- 3
The divisors add up to 27552; without 23309 itself that is 4243, so 23309 is deficient (4243 is less than 23309). Euler's totient φ(23309) = 19440 numbers up to 23309 share no factor with it.
- 4
The digits of 23309 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23309 = 11 \times 13 \times 163 \]
23309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27552 |
| Euler totient φ(n) | 19440 |
| Square | 543309481 |
| Cube | 12664000692629 |
| Square root | 152.672853 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.3309 × |
23309 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and nine |
| Binary (base 2) | 101101100001101 |
| Octal (base 8) | 55415 |
| Hexadecimal (base 16) | 5B0D |
| Base 3 | 1011222022 |
| As time | 23309 seconds = 6 h 28 min 29 s |
Is 23309 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 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (23309 ÷ 11 = 2119) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23309 a prime number?
No. 23309 = 11 × 13 × 163, so it is divisible by 11.
What are the factors of 23309?
1, 11, 13, 143, 163, 1793, 2119, 23309.
What is 23309 in binary?
101101100001101 (hexadecimal 5B0D, octal 55415).
What is the square root of 23309?
About 152.6729.
Is 23309 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 23309?
23309 is a happy number: repeatedly adding the squares of its digits reaches 1.