The number 60504
60504 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2521. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2521, 5042, 7563, 10084, 15126, 20168, 30252, 60504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60504 is composite. Its prime factorisation is
- 3
The divisors add up to 151320; without 60504 itself that is 90816, so 60504 is abundant (90816 is more than 60504). Euler's totient φ(60504) = 20160 numbers up to 60504 share no factor with it.
- 4
The digits of 60504 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60504 = 2^{3} \times 3 \times 2521 \]60504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151320 |
| Euler totient φ(n) | 20160 |
| Square | 3660734016 |
| Cube | 221489050904064 |
| Square root | 245.975609 (= 2√15126) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.0504 × |
60504 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand five hundred and four |
| Binary (base 2) | 1110110001011000 |
| Octal (base 8) | 166130 |
| Hexadecimal (base 16) | EC58 |
| Base 3 | 10001222220 |
| As time | 60504 seconds = 16 h 48 min 24 s |
Is 60504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60504 ÷ 2 = 30252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60504 ÷ 3 = 20168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60504 ÷ 4 = 15126) | 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 (60504 ÷ 6 = 10084) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (60504 ÷ 8 = 7563) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60504 ÷ 12 = 5042) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60504 a prime number?
No. 60504 = × 3 × 2521, so it is divisible by 2.
What are the factors of 60504?
1, 2, 3, 4, 6, 8, 12, 24, 2521, 5042, 7563, 10084, 15126, 20168, 30252, 60504.
What is 60504 in binary?
1110110001011000 (hexadecimal EC58, octal 166130).
What is the square root of 60504?
About 245.9756, exactly 2√15126.
Is 60504 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60504?
It is a composite number with 16 divisors.