The number 60816
60816 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 181. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 60816.
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How to work it out
- 1
What is special about 60816: a Harshad number: divisible by its digit sum 21.
- 2
60816 is composite. Its prime factorisation is
- 3
The divisors add up to 180544; without 60816 itself that is 119728, so 60816 is abundant (119728 is more than 60816). Euler's totient φ(60816) = 17280 numbers up to 60816 share no factor with it.
- 4
The digits of 60816 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60816 = 2^{4} \times 3 \times 7 \times 181 \]60816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 180544 |
| Euler totient φ(n) | 17280 |
| Square | 3698585856 |
| Cube | 224933197418496 |
| Square root | 246.609002 (= 4√3801) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.0816 × |
60816 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand eight hundred and sixteen |
| Binary (base 2) | 1110110110010000 |
| Octal (base 8) | 166620 |
| Hexadecimal (base 16) | ED90 |
| Base 3 | 10002102110 |
| As time | 60816 seconds = 16 h 53 min 36 s |
Is 60816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60816 ÷ 2 = 30408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60816 ÷ 3 = 20272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60816 ÷ 4 = 15204) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60816 ÷ 6 = 10136) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60816 ÷ 7 = 8688) | 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 | Yes (60816 ÷ 8 = 7602) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60816 ÷ 12 = 5068) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60816 a prime number?
No. 60816 = × 3 × 7 × 181, so it is divisible by 2.
What are the factors of 60816?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 181, 336, 362, 543, 724, 1086, 1267, 1448, 2172, 2534, 2896, 3801, 4344, 5068, 7602, 8688, 10136, 15204, 20272, 30408, 60816.
What is 60816 in binary?
1110110110010000 (hexadecimal ED90, octal 166620).
What is the square root of 60816?
About 246.6090, exactly 4√3801.
Is 60816 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60816?
60816 is a Harshad number: divisible by its digit sum 21.