The number 20331
20331 is a composite number with 10 divisors. Its prime factorisation is × 251. Divisors (10): 1, 3, 9, 27, 81, 251, 753, 2259, 6777, 20331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20331: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
20331 is composite. Its prime factorisation is
- 3
The divisors add up to 30492; without 20331 itself that is 10161, so 20331 is deficient (10161 is less than 20331). Euler's totient φ(20331) = 13500 numbers up to 20331 share no factor with it.
- 4
The digits of 20331 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20331 = 3^{4} \times 251 \]20331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 30492 |
| Euler totient φ(n) | 13500 |
| Square | 413349561 |
| Cube | 8403809924691 |
| Square root | 142.586816 (= 9√251) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.0331 × |
20331 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and thirty-one |
| Binary (base 2) | 100111101101011 |
| Octal (base 8) | 47553 |
| Hexadecimal (base 16) | 4F6B |
| Base 3 | 1000220000 |
| As time | 20331 seconds = 5 h 38 min 51 s |
Is 20331 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 (20331 ÷ 3 = 6777) | 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 | 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 (20331 ÷ 9 = 2259) | 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 3) | 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 20331 a prime number?
No. 20331 = × 251, so it is divisible by 3.
What are the factors of 20331?
1, 3, 9, 27, 81, 251, 753, 2259, 6777, 20331.
What is 20331 in binary?
100111101101011 (hexadecimal 4F6B, octal 47553).
What is the square root of 20331?
About 142.5868, exactly 9√251.
Is 20331 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20331?
20331 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.