The number 23355
23355 is a composite number with 16 divisors. Its prime factorisation is × 5 × 173. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 173, 519, 865, 1557, 2595, 4671, 7785, 23355.
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How to work it out
- 1
23355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23355 is composite. Its prime factorisation is
- 3
The divisors add up to 41760; without 23355 itself that is 18405, so 23355 is deficient (18405 is less than 23355). Euler's totient φ(23355) = 12384 numbers up to 23355 share no factor with it.
- 4
The digits of 23355 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 219 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23355 = 3^{3} \times 5 \times 173 \]23355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41760 |
| Euler totient φ(n) | 12384 |
| Square | 545456025 |
| Cube | 12739125463875 |
| Square root | 152.823428 (= 3√2595) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 219 |
| Scientific notation | 2.3355 × |
23355 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and fifty-five |
| Binary (base 2) | 101101100111011 |
| Octal (base 8) | 55473 |
| Hexadecimal (base 16) | 5B3B |
| Base 3 | 1012001000 |
| As time | 23355 seconds = 6 h 29 min 15 s |
Is 23355 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 (23355 ÷ 3 = 7785) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23355 ÷ 5 = 4671) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23355 ÷ 9 = 2595) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23355 a prime number?
No. 23355 = × 5 × 173, so it is divisible by 3.
What are the factors of 23355?
1, 3, 5, 9, 15, 27, 45, 135, 173, 519, 865, 1557, 2595, 4671, 7785, 23355.
What is 23355 in binary?
101101100111011 (hexadecimal 5B3B, octal 55473).
What is the square root of 23355?
About 152.8234, exactly 3√2595.
Is 23355 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23355?
It is a composite number with 16 divisors.