The number 10323
10323 is a composite number with 12 divisors. Its prime factorisation is × 31 × 37. Divisors (12): 1, 3, 9, 31, 37, 93, 111, 279, 333, 1147, 3441, 10323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10323: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
10323 is composite. Its prime factorisation is
- 3
The divisors add up to 15808; without 10323 itself that is 5485, so 10323 is deficient (5485 is less than 10323). Euler's totient φ(10323) = 6480 numbers up to 10323 share no factor with it.
- 4
The digits of 10323 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10323 = 3^{2} \times 31 \times 37 \]10323 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15808 |
| Euler totient φ(n) | 6480 |
| Square | 106564329 |
| Cube | 1100063568267 |
| Square root | 101.602165 (= 3√1147) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0323 × |
10323 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and twenty-three |
| Binary (base 2) | 10100001010011 |
| Octal (base 8) | 24123 |
| Hexadecimal (base 16) | 2853 |
| Base 3 | 112011100 |
| As time | 10323 seconds = 2 h 52 min 3 s |
Is 10323 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 (10323 ÷ 3 = 3441) | 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 3) | 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 5) | 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 (10323 ÷ 9 = 1147) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 10323 a prime number?
No. 10323 = × 31 × 37, so it is divisible by 3.
What are the factors of 10323?
1, 3, 9, 31, 37, 93, 111, 279, 333, 1147, 3441, 10323.
What is 10323 in binary?
10100001010011 (hexadecimal 2853, octal 24123).
What is the square root of 10323?
About 101.6022, exactly 3√1147.
Is 10323 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10323?
10323 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.