The number 98968
98968 is a composite number with 16 divisors. Its prime factorisation is × 89 × 139. Divisors (16): 1, 2, 4, 8, 89, 139, 178, 278, 356, 556, 712, 1112, 12371, 24742, 49484, 98968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98968: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98968 is composite. Its prime factorisation is
- 3
The divisors add up to 189000; without 98968 itself that is 90032, so 98968 is deficient (90032 is less than 98968). Euler's totient φ(98968) = 48576 numbers up to 98968 share no factor with it.
- 4
The digits of 98968 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98968 = 2^{3} \times 89 \times 139 \]98968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 189000 |
| Euler totient φ(n) | 48576 |
| Square | 9794665024 |
| Cube | 969358408095232 |
| Square root | 314.591799 (= 2√24742) |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.8968 × |
98968 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and sixty-eight |
| Binary (base 2) | 11000001010011000 |
| Octal (base 8) | 301230 |
| Hexadecimal (base 16) | 18298 |
| Base 3 | 12000202111 |
| As time | 98968 seconds = 27 h 29 min 28 s |
Is 98968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98968 ÷ 2 = 49484) | 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 | Yes (98968 ÷ 4 = 24742) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (98968 ÷ 8 = 12371) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98968 a prime number?
No. 98968 = × 89 × 139, so it is divisible by 2.
What are the factors of 98968?
1, 2, 4, 8, 89, 139, 178, 278, 356, 556, 712, 1112, 12371, 24742, 49484, 98968.
What is 98968 in binary?
11000001010011000 (hexadecimal 18298, octal 301230).
What is the square root of 98968?
About 314.5918, exactly 2√24742.
Is 98968 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 98968?
98968 is a happy number: repeatedly adding the squares of its digits reaches 1.