The number 60788
60788 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 167. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 167, 182, 334, 364, 668, 1169 … 60788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60788 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 60788 itself that is 70924, so 60788 is abundant (70924 is more than 60788). Euler's totient φ(60788) = 23904 numbers up to 60788 share no factor with it.
- 4
The digits of 60788 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60788 = 2^{2} \times 7 \times 13 \times 167 \]60788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 23904 |
| Square | 3695180944 |
| Cube | 224622659223872 |
| Square root | 246.552226 (= 2√15197) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.0788 × |
60788 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and eighty-eight |
| Binary (base 2) | 1110110101110100 |
| Octal (base 8) | 166564 |
| Hexadecimal (base 16) | ED74 |
| Base 3 | 10002101102 |
| As time | 60788 seconds = 16 h 53 min 8 s |
Is 60788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60788 ÷ 2 = 30394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60788 ÷ 4 = 15197) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60788 ÷ 7 = 8684) | 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 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60788 a prime number?
No. 60788 = × 7 × 13 × 167, so it is divisible by 2.
What are the factors of 60788?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 167, 182, 334, 364, 668, 1169, 2171, 2338, 4342, 4676, 8684, 15197, 30394, 60788.
What is 60788 in binary?
1110110101110100 (hexadecimal ED74, octal 166564).
What is the square root of 60788?
About 246.5522, exactly 2√15197.
Is 60788 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 60788?
It is a composite number with 24 divisors.