The number 56004
56004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 359. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 359, 718, 1077, 1436 … 56004.
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How to work it out
- 1
56004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56004 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 56004 itself that is 85116, so 56004 is abundant (85116 is more than 56004). Euler's totient φ(56004) = 17184 numbers up to 56004 share no factor with it.
- 4
The digits of 56004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56004 = 2^{2} \times 3 \times 13 \times 359 \]56004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 17184 |
| Square | 3136448016 |
| Cube | 175653634688064 |
| Square root | 236.651643 (= 2√14001) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.6004 × |
56004 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand and four |
| Binary (base 2) | 1101101011000100 |
| Octal (base 8) | 155304 |
| Hexadecimal (base 16) | DAC4 |
| Base 3 | 2211211020 |
| As time | 56004 seconds = 15 h 33 min 24 s |
Is 56004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56004 ÷ 2 = 28002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56004 ÷ 3 = 18668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56004 ÷ 4 = 14001) | 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 (56004 ÷ 6 = 9334) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 (56004 ÷ 12 = 4667) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56004 a prime number?
No. 56004 = × 3 × 13 × 359, so it is divisible by 2.
What are the factors of 56004?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 359, 718, 1077, 1436, 2154, 4308, 4667, 9334, 14001, 18668, 28002, 56004.
What is 56004 in binary?
1101101011000100 (hexadecimal DAC4, octal 155304).
What is the square root of 56004?
About 236.6516, exactly 2√14001.
Is 56004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 56004?
It is a composite number with 24 divisors.