The number 67572
67572 is a composite number with 18 divisors. Its prime factorisation is × × 1877. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1877, 3754, 5631, 7508, 11262, 16893, 22524 … 67572.
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How to work it out
- 1
67572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67572 is composite. Its prime factorisation is
- 3
The divisors add up to 170898; without 67572 itself that is 103326, so 67572 is abundant (103326 is more than 67572). Euler's totient φ(67572) = 22512 numbers up to 67572 share no factor with it.
- 4
The digits of 67572 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67572 = 2^{2} \times 3^{2} \times 1877 \]67572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 170898 |
| Euler totient φ(n) | 22512 |
| Square | 4565975184 |
| Cube | 308532075133248 |
| Square root | 259.946148 (= 6√1877) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7572 × |
67572 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and seventy-two |
| Binary (base 2) | 10000011111110100 |
| Octal (base 8) | 203764 |
| Hexadecimal (base 16) | 107F4 |
| Base 3 | 10102200200 |
| As time | 67572 seconds = 18 h 46 min 12 s |
Is 67572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67572 ÷ 2 = 33786) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67572 ÷ 3 = 22524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67572 ÷ 4 = 16893) | 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 (67572 ÷ 6 = 11262) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (67572 ÷ 9 = 7508) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67572 ÷ 12 = 5631) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67572 a prime number?
No. 67572 = × × 1877, so it is divisible by 2.
What are the factors of 67572?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1877, 3754, 5631, 7508, 11262, 16893, 22524, 33786, 67572.
What is 67572 in binary?
10000011111110100 (hexadecimal 107F4, octal 203764).
What is the square root of 67572?
About 259.9461, exactly 6√1877.
Is 67572 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67572?
It is a composite number with 18 divisors.