The number 97627
97627 is a composite number with 4 divisors. Its prime factorisation is 233 × 419. Divisors (4): 1, 233, 419, 97627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97627: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 233 × 419, the product of two primes.
- 2
97627 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 97627 itself that is 653, so 97627 is deficient (653 is less than 97627). Euler's totient φ(97627) = 96976 numbers up to 97627 share no factor with it.
- 4
The digits of 97627 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97627 = 233 \times 419 \]
97627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 96976 |
| Square | 9531031129 |
| Cube | 930485976030883 |
| Square root | 312.453196 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7627 × |
97627 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and twenty-seven |
| Binary (base 2) | 10111110101011011 |
| Octal (base 8) | 276533 |
| Hexadecimal (base 16) | 17D5B |
| Base 3 | 11221220211 |
| As time | 97627 seconds = 27 h 7 min 7 s |
Is 97627 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97627 a prime number?
No. 97627 = 233 × 419, so it is divisible by 233.
What are the factors of 97627?
1, 233, 419, 97627.
What is 97627 in binary?
10111110101011011 (hexadecimal 17D5B, octal 276533).
What is the square root of 97627?
About 312.4532.
Is 97627 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97627?
97627 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 233 × 419, the product of two primes.