The number 67272
67272 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2803. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2803, 5606, 8409, 11212, 16818, 22424, 33636, 67272.
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How to work it out
- 1
What is special about 67272: a Harshad number: divisible by its digit sum 24.
- 2
67272 is composite. Its prime factorisation is
- 3
The divisors add up to 168240; without 67272 itself that is 100968, so 67272 is abundant (100968 is more than 67272). Euler's totient φ(67272) = 22416 numbers up to 67272 share no factor with it.
- 4
The digits of 67272 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67272 = 2^{3} \times 3 \times 2803 \]67272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 168240 |
| Euler totient φ(n) | 22416 |
| Square | 4525521984 |
| Cube | 304440914907648 |
| Square root | 259.368464 (= 2√16818) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7272 × |
67272 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and seventy-two |
| Binary (base 2) | 10000011011001000 |
| Octal (base 8) | 203310 |
| Hexadecimal (base 16) | 106C8 |
| Base 3 | 10102021120 |
| As time | 67272 seconds = 18 h 41 min 12 s |
Is 67272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67272 ÷ 2 = 33636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67272 ÷ 3 = 22424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67272 ÷ 4 = 16818) | 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 (67272 ÷ 6 = 11212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (67272 ÷ 8 = 8409) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67272 ÷ 12 = 5606) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67272 a prime number?
No. 67272 = × 3 × 2803, so it is divisible by 2.
What are the factors of 67272?
1, 2, 3, 4, 6, 8, 12, 24, 2803, 5606, 8409, 11212, 16818, 22424, 33636, 67272.
What is 67272 in binary?
10000011011001000 (hexadecimal 106C8, octal 203310).
What is the square root of 67272?
About 259.3685, exactly 2√16818.
Is 67272 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67272?
67272 is a Harshad number: divisible by its digit sum 24.