The number 97083
97083 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 67. Divisors (24): 1, 3, 7, 9, 21, 23, 63, 67, 69, 161, 201, 207, 469, 483, 603, 1407 … 97083.
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How to work it out
- 1
What is special about 97083: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97083 is composite. Its prime factorisation is
- 3
The divisors add up to 169728; without 97083 itself that is 72645, so 97083 is deficient (72645 is less than 97083). Euler's totient φ(97083) = 52272 numbers up to 97083 share no factor with it.
- 4
The digits of 97083 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 252 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97083 = 3^{2} \times 7 \times 23 \times 67 \]97083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 169728 |
| Euler totient φ(n) | 52272 |
| Square | 9425108889 |
| Cube | 915017846270787 |
| Square root | 311.581450 (= 3√10787) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 252 |
| Scientific notation | 9.7083 × |
97083 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and eighty-three |
| Binary (base 2) | 10111101100111011 |
| Octal (base 8) | 275473 |
| Hexadecimal (base 16) | 17B3B |
| Base 3 | 11221011200 |
| As time | 97083 seconds = 26 h 58 min 3 s |
Is 97083 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97083 ÷ 3 = 32361) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97083 ÷ 7 = 13869) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97083 ÷ 9 = 10787) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97083 a prime number?
No. 97083 = × 7 × 23 × 67, so it is divisible by 3.
What are the factors of 97083?
1, 3, 7, 9, 21, 23, 63, 67, 69, 161, 201, 207, 469, 483, 603, 1407, 1449, 1541, 4221, 4623, 10787, 13869, 32361, 97083.
What is 97083 in binary?
10111101100111011 (hexadecimal 17B3B, octal 275473).
What is the square root of 97083?
About 311.5815, exactly 3√10787.
Is 97083 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97083?
97083 is a happy number: repeatedly adding the squares of its digits reaches 1.