The number 60104
60104 is a composite number with 16 divisors. Its prime factorisation is × 11 × 683. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 683, 1366, 2732, 5464, 7513, 15026, 30052, 60104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60104: a Harshad number: divisible by its digit sum 11.
- 2
60104 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 60104 itself that is 63016, so 60104 is abundant (63016 is more than 60104). Euler's totient φ(60104) = 27280 numbers up to 60104 share no factor with it.
- 4
The digits of 60104 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60104 = 2^{3} \times 11 \times 683 \]60104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 27280 |
| Square | 3612490816 |
| Cube | 217125148004864 |
| Square root | 245.161171 (= 2√15026) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0104 × |
60104 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and four |
| Binary (base 2) | 1110101011001000 |
| Octal (base 8) | 165310 |
| Hexadecimal (base 16) | EAC8 |
| Base 3 | 10001110002 |
| As time | 60104 seconds = 16 h 41 min 44 s |
Is 60104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60104 ÷ 2 = 30052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60104 ÷ 4 = 15026) | 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 2) | 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 | Yes (60104 ÷ 8 = 7513) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (60104 ÷ 11 = 5464) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60104 a prime number?
No. 60104 = × 11 × 683, so it is divisible by 2.
What are the factors of 60104?
1, 2, 4, 8, 11, 22, 44, 88, 683, 1366, 2732, 5464, 7513, 15026, 30052, 60104.
What is 60104 in binary?
1110101011001000 (hexadecimal EAC8, octal 165310).
What is the square root of 60104?
About 245.1612, exactly 2√15026.
Is 60104 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 60104?
60104 is a Harshad number: divisible by its digit sum 11.