The number 60049
60049 is a composite number with 8 divisors. Its prime factorisation is 11 × 53 × 103. Divisors (8): 1, 11, 53, 103, 583, 1133, 5459, 60049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60049: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60049 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 60049 itself that is 7343, so 60049 is deficient (7343 is less than 60049). Euler's totient φ(60049) = 53040 numbers up to 60049 share no factor with it.
- 4
The digits of 60049 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60049 = 11 \times 53 \times 103 \]
60049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 53040 |
| Square | 3605882401 |
| Cube | 216529632297649 |
| Square root | 245.048975 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0049 × |
60049 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and forty-nine |
| Binary (base 2) | 1110101010010001 |
| Octal (base 8) | 165221 |
| Hexadecimal (base 16) | EA91 |
| Base 3 | 10001101001 |
| As time | 60049 seconds = 16 h 40 min 49 s |
Is 60049 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60049 ÷ 11 = 5459) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60049 a prime number?
No. 60049 = 11 × 53 × 103, so it is divisible by 11.
What are the factors of 60049?
1, 11, 53, 103, 583, 1133, 5459, 60049.
What is 60049 in binary?
1110101010010001 (hexadecimal EA91, octal 165221).
What is the square root of 60049?
About 245.0490.
Is 60049 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60049?
60049 is a happy number: repeatedly adding the squares of its digits reaches 1.