The number 23361
23361 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 599. Divisors (8): 1, 3, 13, 39, 599, 1797, 7787, 23361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23361 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23361 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 23361 itself that is 10239, so 23361 is deficient (10239 is less than 23361). Euler's totient φ(23361) = 14352 numbers up to 23361 share no factor with it.
- 4
The digits of 23361 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23361 = 3 \times 13 \times 599 \]
23361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 14352 |
| Square | 545736321 |
| Cube | 12748946194881 |
| Square root | 152.843057 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.3361 × |
23361 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and sixty-one |
| Binary (base 2) | 101101101000001 |
| Octal (base 8) | 55501 |
| Hexadecimal (base 16) | 5B41 |
| Base 3 | 1012001020 |
| As time | 23361 seconds = 6 h 29 min 21 s |
Is 23361 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 (23361 ÷ 3 = 7787) | 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 1) | 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 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23361 a prime number?
No. 23361 = 3 × 13 × 599, so it is divisible by 3.
What are the factors of 23361?
1, 3, 13, 39, 599, 1797, 7787, 23361.
What is 23361 in binary?
101101101000001 (hexadecimal 5B41, octal 55501).
What is the square root of 23361?
About 152.8431.
Is 23361 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 23361?
It is a composite number with 8 divisors.