The number 60102
60102 is a composite number with 40 divisors. Its prime factorisation is 2 × × 7 × 53. Divisors (40): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 81, 106 … 60102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60102: a Harshad number: divisible by its digit sum 9.
- 2
60102 is composite. Its prime factorisation is
- 3
The divisors add up to 156816; without 60102 itself that is 96714, so 60102 is abundant (96714 is more than 60102). Euler's totient φ(60102) = 16848 numbers up to 60102 share no factor with it.
- 4
The digits of 60102 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60102 = 2 \times 3^{4} \times 7 \times 53 \]60102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 156816 |
| Euler totient φ(n) | 16848 |
| Square | 3612250404 |
| Cube | 217103473781208 |
| Square root | 245.157092 (= 9√742) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0102 × |
60102 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and two |
| Binary (base 2) | 1110101011000110 |
| Octal (base 8) | 165306 |
| Hexadecimal (base 16) | EAC6 |
| Base 3 | 10001110000 |
| As time | 60102 seconds = 16 h 41 min 42 s |
Is 60102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60102 ÷ 2 = 30051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60102 ÷ 3 = 20034) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60102 ÷ 6 = 10017) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60102 ÷ 7 = 8586) | 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 (60102 ÷ 9 = 6678) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 60102 a prime number?
No. 60102 = 2 × × 7 × 53, so it is divisible by 2.
What are the factors of 60102?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 81, 106, 126, 159, 162, 189, 318, 371, 378, 477, 567, 742, 954, 1113, 1134, 1431, 2226, 2862, 3339, 4293, 6678, 8586, 10017, 20034, 30051, 60102.
What is 60102 in binary?
1110101011000110 (hexadecimal EAC6, octal 165306).
What is the square root of 60102?
About 245.1571, exactly 9√742.
Is 60102 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 60102?
60102 is a Harshad number: divisible by its digit sum 9.