The number 23359
23359 is a composite number with 8 divisors. Its prime factorisation is 7 × 47 × 71. Divisors (8): 1, 7, 47, 71, 329, 497, 3337, 23359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23359 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23359 is composite. Its prime factorisation is
- 3
The divisors add up to 27648; without 23359 itself that is 4289, so 23359 is deficient (4289 is less than 23359). Euler's totient φ(23359) = 19320 numbers up to 23359 share no factor with it.
- 4
The digits of 23359 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23359 = 7 \times 47 \times 71 \]
23359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27648 |
| Euler totient φ(n) | 19320 |
| Square | 545642881 |
| Cube | 12745672057279 |
| Square root | 152.836514 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3359 × |
23359 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and fifty-nine |
| Binary (base 2) | 101101100111111 |
| Octal (base 8) | 55477 |
| Hexadecimal (base 16) | 5B3F |
| Base 3 | 1012001011 |
| As time | 23359 seconds = 6 h 29 min 19 s |
Is 23359 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 1) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23359 ÷ 7 = 3337) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23359 a prime number?
No. 23359 = 7 × 47 × 71, so it is divisible by 7.
What are the factors of 23359?
1, 7, 47, 71, 329, 497, 3337, 23359.
What is 23359 in binary?
101101100111111 (hexadecimal 5B3F, octal 55477).
What is the square root of 23359?
About 152.8365.
Is 23359 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 23359?
It is a composite number with 8 divisors.