The number 60030
60030 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 23 × 29. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 29, 30, 45, 46, 58, 69 … 60030.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60030: a Harshad number: divisible by its digit sum 9.
- 2
60030 is composite. Its prime factorisation is
- 3
The divisors add up to 168480; without 60030 itself that is 108450, so 60030 is abundant (108450 is more than 60030). Euler's totient φ(60030) = 14784 numbers up to 60030 share no factor with it.
- 4
The digits of 60030 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60030 = 2 \times 3^{2} \times 5 \times 23 \times 29 \]60030 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 168480 |
| Euler totient φ(n) | 14784 |
| Square | 3603600900 |
| Cube | 216324162027000 |
| Square root | 245.010204 (= 3√6670) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.003 × |
60030 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and thirty |
| Binary (base 2) | 1110101001111110 |
| Octal (base 8) | 165176 |
| Hexadecimal (base 16) | EA7E |
| Base 3 | 10001100100 |
| As time | 60030 seconds = 16 h 40 min 30 s |
Is 60030 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60030 ÷ 2 = 30015) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60030 ÷ 3 = 20010) | 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 (60030 ÷ 5 = 12006) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60030 ÷ 6 = 10005) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60030 ÷ 9 = 6670) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60030 ÷ 10 = 6003) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60030 a prime number?
No. 60030 = 2 × × 5 × 23 × 29, so it is divisible by 2.
What are the factors of 60030?
1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 29, 30, 45, 46, 58, 69, 87, 90, 115, 138, 145, 174, 207, 230, 261, 290, 345, 414, 435, 522, 667, 690, 870, 1035, 1305, 1334, 2001, 2070, 2610, 3335, 4002, 6003, 6670, 10005, 12006, 20010, 30015, 60030.
What is 60030 in binary?
1110101001111110 (hexadecimal EA7E, octal 165176).
What is the square root of 60030?
About 245.0102, exactly 3√6670.
Is 60030 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 60030?
60030 is a Harshad number: divisible by its digit sum 9.