The number 97038
97038 is a composite number with 20 divisors. Its prime factorisation is 2 × × 599. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 599, 1198, 1797, 3594, 5391, 10782 … 97038.
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How to work it out
- 1
What is special about 97038: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
97038 is composite. Its prime factorisation is
- 3
The divisors add up to 217800; without 97038 itself that is 120762, so 97038 is abundant (120762 is more than 97038). Euler's totient φ(97038) = 32292 numbers up to 97038 share no factor with it.
- 4
The digits of 97038 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97038 = 2 \times 3^{4} \times 599 \]97038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 217800 |
| Euler totient φ(n) | 32292 |
| Square | 9416373444 |
| Cube | 913746046258872 |
| Square root | 311.509229 (= 9√1198) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7038 × |
97038 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and thirty-eight |
| Binary (base 2) | 10111101100001110 |
| Octal (base 8) | 275416 |
| Hexadecimal (base 16) | 17B0E |
| Base 3 | 11221010000 |
| As time | 97038 seconds = 26 h 57 min 18 s |
Is 97038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97038 ÷ 2 = 48519) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97038 ÷ 3 = 32346) | 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 | Yes (97038 ÷ 6 = 16173) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (97038 ÷ 9 = 10782) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97038 a prime number?
No. 97038 = 2 × × 599, so it is divisible by 2.
What are the factors of 97038?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 599, 1198, 1797, 3594, 5391, 10782, 16173, 32346, 48519, 97038.
What is 97038 in binary?
10111101100001110 (hexadecimal 17B0E, octal 275416).
What is the square root of 97038?
About 311.5092, exactly 9√1198.
Is 97038 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97038?
97038 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.