The number 93982
93982 is a composite number with 16 divisors. Its prime factorisation is 2 × × 137. Divisors (16): 1, 2, 7, 14, 49, 98, 137, 274, 343, 686, 959, 1918, 6713, 13426, 46991, 93982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 93982: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
93982 is composite. Its prime factorisation is
- 3
The divisors add up to 165600; without 93982 itself that is 71618, so 93982 is deficient (71618 is less than 93982). Euler's totient φ(93982) = 39984 numbers up to 93982 share no factor with it.
- 4
The digits of 93982 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93982 = 2 \times 7^{3} \times 137 \]93982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 165600 |
| Euler totient φ(n) | 39984 |
| Square | 8832616324 |
| Cube | 830106947362168 |
| Square root | 306.564838 (= 7√1918) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.3982 × |
93982 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand nine hundred and eighty-two |
| Binary (base 2) | 10110111100011110 |
| Octal (base 8) | 267436 |
| Hexadecimal (base 16) | 16F1E |
| Base 3 | 11202220211 |
| As time | 93982 seconds = 26 h 6 min 22 s |
Is 93982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93982 ÷ 2 = 46991) | 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 | Yes (93982 ÷ 7 = 13426) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | 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 93982 a prime number?
No. 93982 = 2 × × 137, so it is divisible by 2.
What are the factors of 93982?
1, 2, 7, 14, 49, 98, 137, 274, 343, 686, 959, 1918, 6713, 13426, 46991, 93982.
What is 93982 in binary?
10110111100011110 (hexadecimal 16F1E, octal 267436).
What is the square root of 93982?
About 306.5648, exactly 7√1918.
Is 93982 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 93982?
93982 is a happy number: repeatedly adding the squares of its digits reaches 1.