The number 23409
23409 is a perfect square (153²). Its prime factorisation is × . Divisors (15): 1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803, 23409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23409: a perfect square (153²).
- 2
23409 is composite. Its prime factorisation is
- 3
The divisors add up to 37147; without 23409 itself that is 13738, so 23409 is deficient (13738 is less than 23409). Euler's totient φ(23409) = 14688 numbers up to 23409 share no factor with it.
- 4
The digits of 23409 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23409 = 3^{4} \times 17^{2} \]23409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 37147 |
| Euler totient φ(n) | 14688 |
| Square | 547981281 |
| Cube | 12827693806929 |
| Square root | 153 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3409 × |
| Perfect power |
23409 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and nine |
| Binary (base 2) | 101101101110001 |
| Octal (base 8) | 55561 |
| Hexadecimal (base 16) | 5B71 |
| Base 3 | 1012010000 |
| As time | 23409 seconds = 6 h 30 min 9 s |
Is 23409 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 (23409 ÷ 3 = 7803) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23409 ÷ 9 = 2601) | 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 1) | 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 23409 a prime number?
No. 23409 = × , so it is divisible by 3.
What are the factors of 23409?
1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803, 23409.
What is 23409 in binary?
101101101110001 (hexadecimal 5B71, octal 55561).
What is the square root of 23409?
153, because 153 × 153 = 23409.
Is 23409 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23409?
23409 is a perfect square (153²).