The number 98076
98076 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 743. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 743, 1486, 2229, 2972 … 98076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98076: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98076 is composite. Its prime factorisation is
- 3
The divisors add up to 249984; without 98076 itself that is 151908, so 98076 is abundant (151908 is more than 98076). Euler's totient φ(98076) = 29680 numbers up to 98076 share no factor with it.
- 4
The digits of 98076 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98076 = 2^{2} \times 3 \times 11 \times 743 \]98076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 249984 |
| Euler totient φ(n) | 29680 |
| Square | 9618901776 |
| Cube | 943383410582976 |
| Square root | 313.170880 (= 2√24519) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.8076 × |
98076 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and seventy-six |
| Binary (base 2) | 10111111100011100 |
| Octal (base 8) | 277434 |
| Hexadecimal (base 16) | 17F1C |
| Base 3 | 11222112110 |
| As time | 98076 seconds = 27 h 14 min 36 s |
Is 98076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98076 ÷ 2 = 49038) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98076 ÷ 3 = 32692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98076 ÷ 4 = 24519) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98076 ÷ 6 = 16346) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98076 ÷ 11 = 8916) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98076 ÷ 12 = 8173) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98076 a prime number?
No. 98076 = × 3 × 11 × 743, so it is divisible by 2.
What are the factors of 98076?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 743, 1486, 2229, 2972, 4458, 8173, 8916, 16346, 24519, 32692, 49038, 98076.
What is 98076 in binary?
10111111100011100 (hexadecimal 17F1C, octal 277434).
What is the square root of 98076?
About 313.1709, exactly 2√24519.
Is 98076 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 98076?
98076 is a happy number: repeatedly adding the squares of its digits reaches 1.