The number 9023
9023 is a composite number with 4 divisors. Its prime factorisation is 7 × 1289. Divisors (4): 1, 7, 1289, 9023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9023: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1289, the product of two primes.
- 2
9023 is composite. Its prime factorisation is
- 3
The divisors add up to 10320; without 9023 itself that is 1297, so 9023 is deficient (1297 is less than 9023). Euler's totient φ(9023) = 7728 numbers up to 9023 share no factor with it.
- 4
The digits of 9023 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9023 = 7 \times 1289 \]
9023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10320 |
| Euler totient φ(n) | 7728 |
| Square | 81414529 |
| Cube | 734603295167 |
| Square root | 94.989473 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.023 × |
9023 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty-three |
| Binary (base 2) | 10001100111111 |
| Octal (base 8) | 21477 |
| Hexadecimal (base 16) | 233F |
| Base 3 | 110101012 |
| As time | 9023 seconds = 2 h 30 min 23 s |
Is 9023 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9023 ÷ 7 = 1289) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9023 a prime number?
No. 9023 = 7 × 1289, so it is divisible by 7.
What are the factors of 9023?
1, 7, 1289, 9023.
What is 9023 in binary?
10001100111111 (hexadecimal 233F, octal 21477).
What is the square root of 9023?
About 94.9895.
Is 9023 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9023?
9023 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1289, the product of two primes.