The number 60100
60100 is a composite number with 18 divisors. Its prime factorisation is × × 601. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 601, 1202, 2404, 3005, 6010, 12020, 15025 … 60100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60100 is composite. Its prime factorisation is
- 3
The divisors add up to 130634; without 60100 itself that is 70534, so 60100 is abundant (70534 is more than 60100). Euler's totient φ(60100) = 24000 numbers up to 60100 share no factor with it.
- 4
The digits of 60100 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60100 = 2^{2} \times 5^{2} \times 601 \]60100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 130634 |
| Euler totient φ(n) | 24000 |
| Square | 3612010000 |
| Cube | 217081801000000 |
| Square root | 245.153013 (= 10√601) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.01 × |
60100 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred |
| Binary (base 2) | 1110101011000100 |
| Octal (base 8) | 165304 |
| Hexadecimal (base 16) | EAC4 |
| Base 3 | 10001102221 |
| As time | 60100 seconds = 16 h 41 min 40 s |
Is 60100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60100 ÷ 2 = 30050) | 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 | Yes (60100 ÷ 4 = 15025) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60100 ÷ 5 = 12020) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60100 ÷ 10 = 6010) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60100 a prime number?
No. 60100 = × × 601, so it is divisible by 2.
What are the factors of 60100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 601, 1202, 2404, 3005, 6010, 12020, 15025, 30050, 60100.
What is 60100 in binary?
1110101011000100 (hexadecimal EAC4, octal 165304).
What is the square root of 60100?
About 245.1530, exactly 10√601.
Is 60100 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 60100?
It is a composite number with 18 divisors.