The number 60350
60350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 71. Divisors (24): 1, 2, 5, 10, 17, 25, 34, 50, 71, 85, 142, 170, 355, 425, 710, 850 … 60350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60350: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60350 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 60350 itself that is 60178, so 60350 is deficient (60178 is less than 60350). Euler's totient φ(60350) = 22400 numbers up to 60350 share no factor with it.
- 4
The digits of 60350 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 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60350 = 2 \times 5^{2} \times 17 \times 71 \]60350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 22400 |
| Square | 3642122500 |
| Cube | 219802092875000 |
| Square root | 245.662370 (= 5√2414) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.035 × |
60350 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and fifty |
| Binary (base 2) | 1110101110111110 |
| Octal (base 8) | 165676 |
| Hexadecimal (base 16) | EBBE |
| Base 3 | 10001210012 |
| As time | 60350 seconds = 16 h 45 min 50 s |
Is 60350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60350 ÷ 2 = 30175) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60350 ÷ 5 = 12070) | 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 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 6) | 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 | Yes (60350 ÷ 10 = 6035) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60350 a prime number?
No. 60350 = 2 × × 17 × 71, so it is divisible by 2.
What are the factors of 60350?
1, 2, 5, 10, 17, 25, 34, 50, 71, 85, 142, 170, 355, 425, 710, 850, 1207, 1775, 2414, 3550, 6035, 12070, 30175, 60350.
What is 60350 in binary?
1110101110111110 (hexadecimal EBBE, octal 165676).
What is the square root of 60350?
About 245.6624, exactly 5√2414.
Is 60350 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60350?
60350 is a happy number: repeatedly adding the squares of its digits reaches 1.