The number 60960
60960 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 127. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 60960.
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How to work it out
- 1
60960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60960 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 60960 itself that is 132576, so 60960 is abundant (132576 is more than 60960). Euler's totient φ(60960) = 16128 numbers up to 60960 share no factor with it.
- 4
The digits of 60960 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60960 = 2^{5} \times 3 \times 5 \times 127 \]60960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 16128 |
| Square | 3716121600 |
| Cube | 226534772736000 |
| Square root | 246.900790 (= 4√3810) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.096 × |
60960 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and sixty |
| Binary (base 2) | 1110111000100000 |
| Octal (base 8) | 167040 |
| Hexadecimal (base 16) | EE20 |
| Base 3 | 10002121210 |
| As time | 60960 seconds = 16 h 56 min 0 s |
Is 60960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60960 ÷ 2 = 30480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60960 ÷ 3 = 20320) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60960 ÷ 4 = 15240) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60960 ÷ 5 = 12192) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60960 ÷ 6 = 10160) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (60960 ÷ 8 = 7620) | 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 | Yes (60960 ÷ 10 = 6096) | 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 (60960 ÷ 12 = 5080) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60960 a prime number?
No. 60960 = × 3 × 5 × 127, so it is divisible by 2.
What are the factors of 60960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 127, 160, 240, 254, 381, 480, 508, 635, 762, 1016, 1270, 1524, 1905, 2032, 2540, 3048, 3810, 4064, 5080, 6096, 7620, 10160, 12192, 15240, 20320, 30480, 60960.
What is 60960 in binary?
1110111000100000 (hexadecimal EE20, octal 167040).
What is the square root of 60960?
About 246.9008, exactly 4√3810.
Is 60960 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60960?
It is a composite number with 48 divisors.