The number 97601
97601 is a composite number with 8 divisors. Its prime factorisation is 7 × 73 × 191. Divisors (8): 1, 7, 73, 191, 511, 1337, 13943, 97601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97601: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97601 is composite. Its prime factorisation is
- 3
The divisors add up to 113664; without 97601 itself that is 16063, so 97601 is deficient (16063 is less than 97601). Euler's totient φ(97601) = 82080 numbers up to 97601 share no factor with it.
- 4
The digits of 97601 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97601 = 7 \times 73 \times 191 \]
97601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 113664 |
| Euler totient φ(n) | 82080 |
| Square | 9525955201 |
| Cube | 929742753572801 |
| Square root | 312.411587 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7601 × |
97601 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and one |
| Binary (base 2) | 10111110101000001 |
| Octal (base 8) | 276501 |
| Hexadecimal (base 16) | 17D41 |
| Base 3 | 11221212212 |
| As time | 97601 seconds = 27 h 6 min 41 s |
Is 97601 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 1) | 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 | Yes (97601 ÷ 7 = 13943) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 97601 a prime number?
No. 97601 = 7 × 73 × 191, so it is divisible by 7.
What are the factors of 97601?
1, 7, 73, 191, 511, 1337, 13943, 97601.
What is 97601 in binary?
10111110101000001 (hexadecimal 17D41, octal 276501).
What is the square root of 97601?
About 312.4116.
Is 97601 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97601?
97601 is a happy number: repeatedly adding the squares of its digits reaches 1.