The number 60053
60053 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 373. Divisors (8): 1, 7, 23, 161, 373, 2611, 8579, 60053.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60053: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60053 is composite. Its prime factorisation is
- 3
The divisors add up to 71808; without 60053 itself that is 11755, so 60053 is deficient (11755 is less than 60053). Euler's totient φ(60053) = 49104 numbers up to 60053 share no factor with it.
- 4
The digits of 60053 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60053 = 7 \times 23 \times 373 \]
60053 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71808 |
| Euler totient φ(n) | 49104 |
| Square | 3606362809 |
| Cube | 216572905768877 |
| Square root | 245.057136 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0053 × |
60053 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and fifty-three |
| Binary (base 2) | 1110101010010101 |
| Octal (base 8) | 165225 |
| Hexadecimal (base 16) | EA95 |
| Base 3 | 10001101012 |
| As time | 60053 seconds = 16 h 40 min 53 s |
Is 60053 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 1) | 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 | Yes (60053 ÷ 7 = 8579) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60053 a prime number?
No. 60053 = 7 × 23 × 373, so it is divisible by 7.
What are the factors of 60053?
1, 7, 23, 161, 373, 2611, 8579, 60053.
What is 60053 in binary?
1110101010010101 (hexadecimal EA95, octal 165225).
What is the square root of 60053?
About 245.0571.
Is 60053 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60053?
60053 is a happy number: repeatedly adding the squares of its digits reaches 1.