The number 23004
23004 is a composite number with 30 divisors. Its prime factorisation is × × 71. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 81, 108, 142, 162 … 23004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23004: a Harshad number: divisible by its digit sum 9.
- 2
23004 is composite. Its prime factorisation is
- 3
The divisors add up to 60984; without 23004 itself that is 37980, so 23004 is abundant (37980 is more than 23004). Euler's totient φ(23004) = 7560 numbers up to 23004 share no factor with it.
- 4
The digits of 23004 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23004 = 2^{2} \times 3^{4} \times 71 \]23004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 60984 |
| Euler totient φ(n) | 7560 |
| Square | 529184016 |
| Cube | 12173349104064 |
| Square root | 151.670696 (= 18√71) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3004 × |
23004 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and four |
| Binary (base 2) | 101100111011100 |
| Octal (base 8) | 54734 |
| Hexadecimal (base 16) | 59DC |
| Base 3 | 1011120000 |
| As time | 23004 seconds = 6 h 23 min 24 s |
Is 23004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23004 ÷ 2 = 11502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23004 ÷ 3 = 7668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23004 ÷ 4 = 5751) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23004 ÷ 6 = 3834) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23004 ÷ 9 = 2556) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (23004 ÷ 12 = 1917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23004 a prime number?
No. 23004 = × × 71, so it is divisible by 2.
What are the factors of 23004?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 81, 108, 142, 162, 213, 284, 324, 426, 639, 852, 1278, 1917, 2556, 3834, 5751, 7668, 11502, 23004.
What is 23004 in binary?
101100111011100 (hexadecimal 59DC, octal 54734).
What is the square root of 23004?
About 151.6707, exactly 18√71.
Is 23004 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 23004?
23004 is a Harshad number: divisible by its digit sum 9.