The number 60023
60023 is a composite number with 4 divisors. Its prime factorisation is 193 × 311. Divisors (4): 1, 193, 311, 60023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60023: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 193 × 311, the product of two primes.
- 2
60023 is composite. Its prime factorisation is
- 3
The divisors add up to 60528; without 60023 itself that is 505, so 60023 is deficient (505 is less than 60023). Euler's totient φ(60023) = 59520 numbers up to 60023 share no factor with it.
- 4
The digits of 60023 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
\[ 60023 = 193 \times 311 \]
60023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 60528 |
| Euler totient φ(n) | 59520 |
| Square | 3602760529 |
| Cube | 216248495232167 |
| Square root | 244.995918 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0023 × |
60023 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twenty-three |
| Binary (base 2) | 1110101001110111 |
| Octal (base 8) | 165167 |
| Hexadecimal (base 16) | EA77 |
| Base 3 | 10001100002 |
| As time | 60023 seconds = 16 h 40 min 23 s |
Is 60023 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60023 a prime number?
No. 60023 = 193 × 311, so it is divisible by 193.
What are the factors of 60023?
1, 193, 311, 60023.
What is 60023 in binary?
1110101001110111 (hexadecimal EA77, octal 165167).
What is the square root of 60023?
About 244.9959.
Is 60023 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 60023?
60023 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 193 × 311, the product of two primes.