The number 97000
97000 is a composite number with 32 divisors. Its prime factorisation is × × 97. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 125, 194, 200, 250 … 97000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97000: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97000 is composite. Its prime factorisation is
- 3
The divisors add up to 229320; without 97000 itself that is 132320, so 97000 is abundant (132320 is more than 97000). Euler's totient φ(97000) = 38400 numbers up to 97000 share no factor with it.
- 4
The digits of 97000 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97000 = 2^{3} \times 5^{3} \times 97 \]97000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 229320 |
| Euler totient φ(n) | 38400 |
| Square | 9409000000 |
| Cube | 912673000000000 |
| Square root | 311.448230 (= 10√970) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7 × |
97000 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand |
| Binary (base 2) | 10111101011101000 |
| Octal (base 8) | 275350 |
| Hexadecimal (base 16) | 17AE8 |
| Base 3 | 11221001121 |
| As time | 97000 seconds = 26 h 56 min 40 s |
Is 97000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97000 ÷ 2 = 48500) | 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 (97000 ÷ 4 = 24250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97000 ÷ 5 = 19400) | 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 1) | 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 (97000 ÷ 8 = 12125) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97000 ÷ 10 = 9700) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 97000 a prime number?
No. 97000 = × × 97, so it is divisible by 2.
What are the factors of 97000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 125, 194, 200, 250, 388, 485, 500, 776, 970, 1000, 1940, 2425, 3880, 4850, 9700, 12125, 19400, 24250, 48500, 97000.
What is 97000 in binary?
10111101011101000 (hexadecimal 17AE8, octal 275350).
What is the square root of 97000?
About 311.4482, exactly 10√970.
Is 97000 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 97000?
97000 is a happy number: repeatedly adding the squares of its digits reaches 1.