The number 23007
23007 is a composite number with 4 divisors. Its prime factorisation is 3 × 7669. Divisors (4): 1, 3, 7669, 23007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23007: a semiprime: 3 × 7669, the product of two primes.
- 2
23007 is composite. Its prime factorisation is
- 3
The divisors add up to 30680; without 23007 itself that is 7673, so 23007 is deficient (7673 is less than 23007). Euler's totient φ(23007) = 15336 numbers up to 23007 share no factor with it.
- 4
The digits of 23007 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 237 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23007 = 3 \times 7669 \]
23007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 30680 |
| Euler totient φ(n) | 15336 |
| Square | 529322049 |
| Cube | 12178112381343 |
| Square root | 151.680585 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 237 |
| Scientific notation | 2.3007 × |
23007 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and seven |
| Binary (base 2) | 101100111011111 |
| Octal (base 8) | 54737 |
| Hexadecimal (base 16) | 59DF |
| Base 3 | 1011120010 |
| As time | 23007 seconds = 6 h 23 min 27 s |
Is 23007 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 (23007 ÷ 3 = 7669) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 23007 a prime number?
No. 23007 = 3 × 7669, so it is divisible by 3.
What are the factors of 23007?
1, 3, 7669, 23007.
What is 23007 in binary?
101100111011111 (hexadecimal 59DF, octal 54737).
What is the square root of 23007?
About 151.6806.
Is 23007 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23007?
23007 is a semiprime: 3 × 7669, the product of two primes.