The number 97498
97498 is a composite number with 12 divisors. Its prime factorisation is 2 × 29 × . Divisors (12): 1, 2, 29, 41, 58, 82, 1189, 1681, 2378, 3362, 48749, 97498.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97498: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97498 is composite. Its prime factorisation is
- 3
The divisors add up to 155070; without 97498 itself that is 57572, so 97498 is deficient (57572 is less than 97498). Euler's totient φ(97498) = 45920 numbers up to 97498 share no factor with it.
- 4
The digits of 97498 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97498 = 2 \times 29 \times 41^{2} \]97498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 155070 |
| Euler totient φ(n) | 45920 |
| Square | 9505860004 |
| Cube | 926802338669992 |
| Square root | 312.246697 (= 41√58) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7498 × |
97498 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and ninety-eight |
| Binary (base 2) | 10111110011011010 |
| Octal (base 8) | 276332 |
| Hexadecimal (base 16) | 17CDA |
| Base 3 | 11221202001 |
| As time | 97498 seconds = 27 h 4 min 58 s |
Is 97498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97498 ÷ 2 = 48749) | 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 | 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 | 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 5) | 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 97498 a prime number?
No. 97498 = 2 × 29 × , so it is divisible by 2.
What are the factors of 97498?
1, 2, 29, 41, 58, 82, 1189, 1681, 2378, 3362, 48749, 97498.
What is 97498 in binary?
10111110011011010 (hexadecimal 17CDA, octal 276332).
What is the square root of 97498?
About 312.2467, exactly 41√58.
Is 97498 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 97498?
97498 is a happy number: repeatedly adding the squares of its digits reaches 1.