The number 23001
23001 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 41. Divisors (16): 1, 3, 11, 17, 33, 41, 51, 123, 187, 451, 561, 697, 1353, 2091, 7667, 23001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23001 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 23001 itself that is 13287, so 23001 is deficient (13287 is less than 23001). Euler's totient φ(23001) = 12800 numbers up to 23001 share no factor with it.
- 4
The digits of 23001 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23001 = 3 \times 11 \times 17 \times 41 \]
23001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 12800 |
| Square | 529046001 |
| Cube | 12168587069001 |
| Square root | 151.660806 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3001 × |
23001 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and one |
| Binary (base 2) | 101100111011001 |
| Octal (base 8) | 54731 |
| Hexadecimal (base 16) | 59D9 |
| Base 3 | 1011112220 |
| As time | 23001 seconds = 6 h 23 min 21 s |
Is 23001 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 (23001 ÷ 3 = 7667) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (23001 ÷ 11 = 2091) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23001 a prime number?
No. 23001 = 3 × 11 × 17 × 41, so it is divisible by 3.
What are the factors of 23001?
1, 3, 11, 17, 33, 41, 51, 123, 187, 451, 561, 697, 1353, 2091, 7667, 23001.
What is 23001 in binary?
101100111011001 (hexadecimal 59D9, octal 54731).
What is the square root of 23001?
About 151.6608.
Is 23001 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 23001?
It is a composite number with 16 divisors.