The number 23023
23023 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 23. Divisors (16): 1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289, 23023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23023 is composite. Its prime factorisation is
- 3
The divisors add up to 32256; without 23023 itself that is 9233, so 23023 is deficient (9233 is less than 23023). Euler's totient φ(23023) = 15840 numbers up to 23023 share no factor with it.
- 4
The digits of 23023 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23023 = 7 \times 11 \times 13 \times 23 \]
23023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32256 |
| Euler totient φ(n) | 15840 |
| Square | 530058529 |
| Cube | 12203537513167 |
| Square root | 151.733319 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.3023 × |
23023 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and twenty-three |
| Binary (base 2) | 101100111101111 |
| Octal (base 8) | 54757 |
| Hexadecimal (base 16) | 59EF |
| Base 3 | 1011120201 |
| As time | 23023 seconds = 6 h 23 min 43 s |
Is 23023 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23023 ÷ 7 = 3289) | 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 1) | 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 | Yes (23023 ÷ 11 = 2093) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23023 a prime number?
No. 23023 = 7 × 11 × 13 × 23, so it is divisible by 7.
What are the factors of 23023?
1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289, 23023.
What is 23023 in binary?
101100111101111 (hexadecimal 59EF, octal 54757).
What is the square root of 23023?
About 151.7333.
Is 23023 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 23023?
It is a composite number with 16 divisors.