The number 23009
23009 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 173. Divisors (8): 1, 7, 19, 133, 173, 1211, 3287, 23009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23009: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23009 is composite. Its prime factorisation is
- 3
The divisors add up to 27840; without 23009 itself that is 4831, so 23009 is deficient (4831 is less than 23009). Euler's totient φ(23009) = 18576 numbers up to 23009 share no factor with it.
- 4
The digits of 23009 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23009 = 7 \times 19 \times 173 \]
23009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27840 |
| Euler totient φ(n) | 18576 |
| Square | 529414081 |
| Cube | 12181288589729 |
| Square root | 151.687178 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.3009 × |
23009 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and nine |
| Binary (base 2) | 101100111100001 |
| Octal (base 8) | 54741 |
| Hexadecimal (base 16) | 59E1 |
| Base 3 | 1011120012 |
| As time | 23009 seconds = 6 h 23 min 29 s |
Is 23009 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 | Yes (23009 ÷ 7 = 3287) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 23009 a prime number?
No. 23009 = 7 × 19 × 173, so it is divisible by 7.
What are the factors of 23009?
1, 7, 19, 133, 173, 1211, 3287, 23009.
What is 23009 in binary?
101100111100001 (hexadecimal 59E1, octal 54741).
What is the square root of 23009?
About 151.6872.
Is 23009 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 23009?
23009 is a happy number: repeatedly adding the squares of its digits reaches 1.