The number 23331
23331 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 101. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 101, 231, 303, 707, 1111, 2121, 3333, 7777, 23331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23331: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23331 is composite. Its prime factorisation is
- 3
The divisors add up to 39168; without 23331 itself that is 15837, so 23331 is deficient (15837 is less than 23331). Euler's totient φ(23331) = 12000 numbers up to 23331 share no factor with it.
- 4
The digits of 23331 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23331 = 3 \times 7 \times 11 \times 101 \]
23331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39168 |
| Euler totient φ(n) | 12000 |
| Square | 544335561 |
| Cube | 12699892973691 |
| Square root | 152.744885 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3331 × |
23331 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and thirty-one |
| Binary (base 2) | 101101100100011 |
| Octal (base 8) | 55443 |
| Hexadecimal (base 16) | 5B23 |
| Base 3 | 1012000010 |
| As time | 23331 seconds = 6 h 28 min 51 s |
Is 23331 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 (23331 ÷ 3 = 7777) | 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 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 | Yes (23331 ÷ 7 = 3333) | 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 | No (remainder 3) | 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 | Yes (23331 ÷ 11 = 2121) | 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 23331 a prime number?
No. 23331 = 3 × 7 × 11 × 101, so it is divisible by 3.
What are the factors of 23331?
1, 3, 7, 11, 21, 33, 77, 101, 231, 303, 707, 1111, 2121, 3333, 7777, 23331.
What is 23331 in binary?
101101100100011 (hexadecimal 5B23, octal 55443).
What is the square root of 23331?
About 152.7449.
Is 23331 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23331?
23331 is a happy number: repeatedly adding the squares of its digits reaches 1.