The number 60828
60828 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 111, 137, 148, 222, 274, 411, 444, 548 … 60828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60828 is composite. Its prime factorisation is
- 3
The divisors add up to 146832; without 60828 itself that is 86004, so 60828 is abundant (86004 is more than 60828). Euler's totient φ(60828) = 19584 numbers up to 60828 share no factor with it.
- 4
The digits of 60828 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60828 = 2^{2} \times 3 \times 37 \times 137 \]60828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 146832 |
| Euler totient φ(n) | 19584 |
| Square | 3700045584 |
| Cube | 225066372783552 |
| Square root | 246.633331 (= 2√15207) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.0828 × |
60828 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand eight hundred and twenty-eight |
| Binary (base 2) | 1110110110011100 |
| Octal (base 8) | 166634 |
| Hexadecimal (base 16) | ED9C |
| Base 3 | 10002102220 |
| As time | 60828 seconds = 16 h 53 min 48 s |
Is 60828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60828 ÷ 2 = 30414) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60828 ÷ 3 = 20276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60828 ÷ 4 = 15207) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60828 ÷ 6 = 10138) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (60828 ÷ 12 = 5069) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60828 a prime number?
No. 60828 = × 3 × 37 × 137, so it is divisible by 2.
What are the factors of 60828?
1, 2, 3, 4, 6, 12, 37, 74, 111, 137, 148, 222, 274, 411, 444, 548, 822, 1644, 5069, 10138, 15207, 20276, 30414, 60828.
What is 60828 in binary?
1110110110011100 (hexadecimal ED9C, octal 166634).
What is the square root of 60828?
About 246.6333, exactly 2√15207.
Is 60828 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 60828?
It is a composite number with 24 divisors.