The number 67212
67212 is a composite number with 18 divisors. Its prime factorisation is × × 1867. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1867, 3734, 5601, 7468, 11202, 16803, 22404 … 67212.
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How to work it out
- 1
What is special about 67212: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
67212 is composite. Its prime factorisation is
- 3
The divisors add up to 169988; without 67212 itself that is 102776, so 67212 is abundant (102776 is more than 67212). Euler's totient φ(67212) = 22392 numbers up to 67212 share no factor with it.
- 4
The digits of 67212 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67212 = 2^{2} \times 3^{2} \times 1867 \]67212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 169988 |
| Euler totient φ(n) | 22392 |
| Square | 4517452944 |
| Cube | 303627047272128 |
| Square root | 259.252772 (= 6√1867) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7212 × |
67212 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and twelve |
| Binary (base 2) | 10000011010001100 |
| Octal (base 8) | 203214 |
| Hexadecimal (base 16) | 1068C |
| Base 3 | 10102012100 |
| As time | 67212 seconds = 18 h 40 min 12 s |
Is 67212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67212 ÷ 2 = 33606) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67212 ÷ 3 = 22404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67212 ÷ 4 = 16803) | 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 (67212 ÷ 6 = 11202) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67212 ÷ 9 = 7468) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67212 ÷ 12 = 5601) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67212 a prime number?
No. 67212 = × × 1867, so it is divisible by 2.
What are the factors of 67212?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1867, 3734, 5601, 7468, 11202, 16803, 22404, 33606, 67212.
What is 67212 in binary?
10000011010001100 (hexadecimal 1068C, octal 203214).
What is the square root of 67212?
About 259.2528, exactly 6√1867.
Is 67212 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67212?
67212 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.