The number 60123
60123 is a composite number with 12 divisors. Its prime factorisation is 3 × × 409. Divisors (12): 1, 3, 7, 21, 49, 147, 409, 1227, 2863, 8589, 20041, 60123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60123 is composite. Its prime factorisation is
- 3
The divisors add up to 93480; without 60123 itself that is 33357, so 60123 is deficient (33357 is less than 60123). Euler's totient φ(60123) = 34272 numbers up to 60123 share no factor with it.
- 4
The digits of 60123 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60123 = 3 \times 7^{2} \times 409 \]60123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93480 |
| Euler totient φ(n) | 34272 |
| Square | 3614775129 |
| Cube | 217331125080867 |
| Square root | 245.199918 (= 7√1227) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.0123 × |
60123 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and twenty-three |
| Binary (base 2) | 1110101011011011 |
| Octal (base 8) | 165333 |
| Hexadecimal (base 16) | EADB |
| Base 3 | 10001110210 |
| As time | 60123 seconds = 16 h 42 min 3 s |
Is 60123 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60123 ÷ 3 = 20041) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60123 ÷ 7 = 8589) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60123 a prime number?
No. 60123 = 3 × × 409, so it is divisible by 3.
What are the factors of 60123?
1, 3, 7, 21, 49, 147, 409, 1227, 2863, 8589, 20041, 60123.
What is 60123 in binary?
1110101011011011 (hexadecimal EADB, octal 165333).
What is the square root of 60123?
About 245.1999, exactly 7√1227.
Is 60123 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60123?
It is a composite number with 12 divisors.