The number 60004
60004 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2143. Divisors (12): 1, 2, 4, 7, 14, 28, 2143, 4286, 8572, 15001, 30002, 60004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60004 is composite. Its prime factorisation is
- 3
The divisors add up to 120064; without 60004 itself that is 60060, so 60004 is abundant (60060 is more than 60004). Euler's totient φ(60004) = 25704 numbers up to 60004 share no factor with it.
- 4
The digits of 60004 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60004 = 2^{2} \times 7 \times 2143 \]60004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120064 |
| Euler totient φ(n) | 25704 |
| Square | 3600480016 |
| Cube | 216043202880064 |
| Square root | 244.957139 (= 2√15001) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0004 × |
60004 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and four |
| Binary (base 2) | 1110101001100100 |
| Octal (base 8) | 165144 |
| Hexadecimal (base 16) | EA64 |
| Base 3 | 10001022101 |
| As time | 60004 seconds = 16 h 40 min 4 s |
Is 60004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60004 ÷ 2 = 30002) | 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 (60004 ÷ 4 = 15001) | 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 | Yes (60004 ÷ 7 = 8572) | 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 1) | 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 10) | 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 60004 a prime number?
No. 60004 = × 7 × 2143, so it is divisible by 2.
What are the factors of 60004?
1, 2, 4, 7, 14, 28, 2143, 4286, 8572, 15001, 30002, 60004.
What is 60004 in binary?
1110101001100100 (hexadecimal EA64, octal 165144).
What is the square root of 60004?
About 244.9571, exactly 2√15001.
Is 60004 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 60004?
It is a composite number with 12 divisors.