The number 97037
97037 is a composite number with 4 divisors. Its prime factorisation is 23 × 4219. Divisors (4): 1, 23, 4219, 97037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97037: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 4219, the product of two primes.
- 2
97037 is composite. Its prime factorisation is
- 3
The divisors add up to 101280; without 97037 itself that is 4243, so 97037 is deficient (4243 is less than 97037). Euler's totient φ(97037) = 92796 numbers up to 97037 share no factor with it.
- 4
The digits of 97037 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97037 = 23 \times 4219 \]
97037 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 101280 |
| Euler totient φ(n) | 92796 |
| Square | 9416179369 |
| Cube | 913717797429653 |
| Square root | 311.507624 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7037 × |
97037 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and thirty-seven |
| Binary (base 2) | 10111101100001101 |
| Octal (base 8) | 275415 |
| Hexadecimal (base 16) | 17B0D |
| Base 3 | 11221002222 |
| As time | 97037 seconds = 26 h 57 min 17 s |
Is 97037 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97037 a prime number?
No. 97037 = 23 × 4219, so it is divisible by 23.
What are the factors of 97037?
1, 23, 4219, 97037.
What is 97037 in binary?
10111101100001101 (hexadecimal 17B0D, octal 275415).
What is the square root of 97037?
About 311.5076.
Is 97037 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97037?
97037 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 4219, the product of two primes.