The number 54004
54004 is a composite number with 12 divisors. Its prime factorisation is × 23 × 587. Divisors (12): 1, 2, 4, 23, 46, 92, 587, 1174, 2348, 13501, 27002, 54004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54004 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 54004 itself that is 44780, so 54004 is deficient (44780 is less than 54004). Euler's totient φ(54004) = 25784 numbers up to 54004 share no factor with it.
- 4
The digits of 54004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54004 = 2^{2} \times 23 \times 587 \]54004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 25784 |
| Square | 2916432016 |
| Cube | 157498994592064 |
| Square root | 232.387607 (= 2√13501) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4004 × |
54004 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and four |
| Binary (base 2) | 1101001011110100 |
| Octal (base 8) | 151364 |
| Hexadecimal (base 16) | D2F4 |
| Base 3 | 2202002011 |
| As time | 54004 seconds = 15 h 0 min 4 s |
Is 54004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54004 ÷ 2 = 27002) | 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 | Yes (54004 ÷ 4 = 13501) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54004 a prime number?
No. 54004 = × 23 × 587, so it is divisible by 2.
What are the factors of 54004?
1, 2, 4, 23, 46, 92, 587, 1174, 2348, 13501, 27002, 54004.
What is 54004 in binary?
1101001011110100 (hexadecimal D2F4, octal 151364).
What is the square root of 54004?
About 232.3876, exactly 2√13501.
Is 54004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 54004?
It is a composite number with 12 divisors.