The number 83122
83122 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 139. Divisors (16): 1, 2, 13, 23, 26, 46, 139, 278, 299, 598, 1807, 3197, 3614, 6394, 41561, 83122.
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How to work it out
- 1
What is special about 83122: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83122 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 83122 itself that is 57998, so 83122 is deficient (57998 is less than 83122). Euler's totient φ(83122) = 36432 numbers up to 83122 share no factor with it.
- 4
The digits of 83122 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83122 = 2 \times 13 \times 23 \times 139 \]
83122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 36432 |
| Square | 6909266884 |
| Cube | 574312081931848 |
| Square root | 288.308862 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3122 × |
83122 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and twenty-two |
| Binary (base 2) | 10100010010110010 |
| Octal (base 8) | 242262 |
| Hexadecimal (base 16) | 144B2 |
| Base 3 | 11020000121 |
| As time | 83122 seconds = 23 h 5 min 22 s |
Is 83122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83122 ÷ 2 = 41561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83122 a prime number?
No. 83122 = 2 × 13 × 23 × 139, so it is divisible by 2.
What are the factors of 83122?
1, 2, 13, 23, 26, 46, 139, 278, 299, 598, 1807, 3197, 3614, 6394, 41561, 83122.
What is 83122 in binary?
10100010010110010 (hexadecimal 144B2, octal 242262).
What is the square root of 83122?
About 288.3089.
Is 83122 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83122?
83122 is a happy number: repeatedly adding the squares of its digits reaches 1.