The number 60072
60072 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2503. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2503, 5006, 7509, 10012, 15018, 20024, 30036, 60072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60072 is composite. Its prime factorisation is
- 3
The divisors add up to 150240; without 60072 itself that is 90168, so 60072 is abundant (90168 is more than 60072). Euler's totient φ(60072) = 20016 numbers up to 60072 share no factor with it.
- 4
The digits of 60072 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60072 = 2^{3} \times 3 \times 2503 \]60072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 150240 |
| Euler totient φ(n) | 20016 |
| Square | 3608645184 |
| Cube | 216778533493248 |
| Square root | 245.095900 (= 2√15018) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 29 |
| Scientific notation | 6.0072 × |
60072 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and seventy-two |
| Binary (base 2) | 1110101010101000 |
| Octal (base 8) | 165250 |
| Hexadecimal (base 16) | EAA8 |
| Base 3 | 10001101220 |
| As time | 60072 seconds = 16 h 41 min 12 s |
Is 60072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60072 ÷ 2 = 30036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60072 ÷ 3 = 20024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60072 ÷ 4 = 15018) | 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 (60072 ÷ 6 = 10012) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (60072 ÷ 8 = 7509) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60072 ÷ 12 = 5006) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60072 a prime number?
No. 60072 = × 3 × 2503, so it is divisible by 2.
What are the factors of 60072?
1, 2, 3, 4, 6, 8, 12, 24, 2503, 5006, 7509, 10012, 15018, 20024, 30036, 60072.
What is 60072 in binary?
1110101010101000 (hexadecimal EAA8, octal 165250).
What is the square root of 60072?
About 245.0959, exactly 2√15018.
Is 60072 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60072?
It is a composite number with 16 divisors.