The number 60672
60672 is a composite number with 36 divisors. Its prime factorisation is × 3 × 79. Divisors (36): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 128, 158 … 60672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60672 is composite. Its prime factorisation is
- 3
The divisors add up to 163520; without 60672 itself that is 102848, so 60672 is abundant (102848 is more than 60672). Euler's totient φ(60672) = 19968 numbers up to 60672 share no factor with it.
- 4
The digits of 60672 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
\[ 60672 = 2^{8} \times 3 \times 79 \]60672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 163520 |
| Euler totient φ(n) | 19968 |
| Square | 3681091584 |
| Cube | 223339188584448 |
| Square root | 246.316869 (= 16√237) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0672 × |
60672 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand six hundred and seventy-two |
| Binary (base 2) | 1110110100000000 |
| Octal (base 8) | 166400 |
| Hexadecimal (base 16) | ED00 |
| Base 3 | 10002020010 |
| As time | 60672 seconds = 16 h 51 min 12 s |
Is 60672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60672 ÷ 2 = 30336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60672 ÷ 3 = 20224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60672 ÷ 4 = 15168) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60672 ÷ 6 = 10112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (60672 ÷ 8 = 7584) | 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 2) | 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 (60672 ÷ 12 = 5056) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60672 a prime number?
No. 60672 = × 3 × 79, so it is divisible by 2.
What are the factors of 60672?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 128, 158, 192, 237, 256, 316, 384, 474, 632, 768, 948, 1264, 1896, 2528, 3792, 5056, 7584, 10112, 15168, 20224, 30336, 60672.
What is 60672 in binary?
1110110100000000 (hexadecimal ED00, octal 166400).
What is the square root of 60672?
About 246.3169, exactly 16√237.
Is 60672 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60672?
It is a composite number with 36 divisors.