The number 67122
67122 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 113. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 113, 198, 226 … 67122.
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How to work it out
- 1
What is special about 67122: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
67122 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 67122 itself that is 97038, so 67122 is abundant (97038 is more than 67122). Euler's totient φ(67122) = 20160 numbers up to 67122 share no factor with it.
- 4
The digits of 67122 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67122 = 2 \times 3^{3} \times 11 \times 113 \]67122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 20160 |
| Square | 4505362884 |
| Cube | 302408967499848 |
| Square root | 259.079138 (= 3√7458) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7122 × |
67122 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and twenty-two |
| Binary (base 2) | 10000011000110010 |
| Octal (base 8) | 203062 |
| Hexadecimal (base 16) | 10632 |
| Base 3 | 10102002000 |
| As time | 67122 seconds = 18 h 38 min 42 s |
Is 67122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67122 ÷ 2 = 33561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67122 ÷ 3 = 22374) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (67122 ÷ 6 = 11187) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67122 ÷ 9 = 7458) | 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 | Yes (67122 ÷ 11 = 6102) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67122 a prime number?
No. 67122 = 2 × × 11 × 113, so it is divisible by 2.
What are the factors of 67122?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 113, 198, 226, 297, 339, 594, 678, 1017, 1243, 2034, 2486, 3051, 3729, 6102, 7458, 11187, 22374, 33561, 67122.
What is 67122 in binary?
10000011000110010 (hexadecimal 10632, octal 203062).
What is the square root of 67122?
About 259.0791, exactly 3√7458.
Is 67122 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67122?
67122 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.