The number 60144
60144 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 179. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 60144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60144 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 60144 itself that is 118416, so 60144 is abundant (118416 is more than 60144). Euler's totient φ(60144) = 17088 numbers up to 60144 share no factor with it.
- 4
The digits of 60144 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60144 = 2^{4} \times 3 \times 7 \times 179 \]60144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 17088 |
| Square | 3617300736 |
| Cube | 217558935465984 |
| Square root | 245.242737 (= 4√3759) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0144 × |
60144 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and forty-four |
| Binary (base 2) | 1110101011110000 |
| Octal (base 8) | 165360 |
| Hexadecimal (base 16) | EAF0 |
| Base 3 | 10001111120 |
| As time | 60144 seconds = 16 h 42 min 24 s |
Is 60144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60144 ÷ 2 = 30072) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60144 ÷ 3 = 20048) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60144 ÷ 4 = 15036) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60144 ÷ 6 = 10024) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60144 ÷ 7 = 8592) | 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 (60144 ÷ 8 = 7518) | 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 4) | 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 | Yes (60144 ÷ 12 = 5012) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60144 a prime number?
No. 60144 = × 3 × 7 × 179, so it is divisible by 2.
What are the factors of 60144?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 179, 336, 358, 537, 716, 1074, 1253, 1432, 2148, 2506, 2864, 3759, 4296, 5012, 7518, 8592, 10024, 15036, 20048, 30072, 60144.
What is 60144 in binary?
1110101011110000 (hexadecimal EAF0, octal 165360).
What is the square root of 60144?
About 245.2427, exactly 4√3759.
Is 60144 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60144?
It is a composite number with 40 divisors.