The number 98938
98938 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 37 × 191. Divisors (16): 1, 2, 7, 14, 37, 74, 191, 259, 382, 518, 1337, 2674, 7067, 14134, 49469, 98938.
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How to work it out
- 1
What is special about 98938: a Harshad number: divisible by its digit sum 37.
- 2
98938 is composite. Its prime factorisation is
- 3
The divisors add up to 175104; without 98938 itself that is 76166, so 98938 is deficient (76166 is less than 98938). Euler's totient φ(98938) = 41040 numbers up to 98938 share no factor with it.
- 4
The digits of 98938 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98938 = 2 \times 7 \times 37 \times 191 \]
98938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 175104 |
| Euler totient φ(n) | 41040 |
| Square | 9788727844 |
| Cube | 968477155429672 |
| Square root | 314.544115 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8938 × |
98938 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and thirty-eight |
| Binary (base 2) | 11000001001111010 |
| Octal (base 8) | 301172 |
| Hexadecimal (base 16) | 1827A |
| Base 3 | 12000201101 |
| As time | 98938 seconds = 27 h 28 min 58 s |
Is 98938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98938 ÷ 2 = 49469) | 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 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 | Yes (98938 ÷ 7 = 14134) | 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 1) | 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 4) | 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 98938 a prime number?
No. 98938 = 2 × 7 × 37 × 191, so it is divisible by 2.
What are the factors of 98938?
1, 2, 7, 14, 37, 74, 191, 259, 382, 518, 1337, 2674, 7067, 14134, 49469, 98938.
What is 98938 in binary?
11000001001111010 (hexadecimal 1827A, octal 301172).
What is the square root of 98938?
About 314.5441.
Is 98938 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 98938?
98938 is a Harshad number: divisible by its digit sum 37.