The number 97667
97667 is a composite number with 4 divisors. Its prime factorisation is 101 × 967. Divisors (4): 1, 101, 967, 97667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97667: a semiprime: 101 × 967, the product of two primes.
- 2
97667 is composite. Its prime factorisation is
- 3
The divisors add up to 98736; without 97667 itself that is 1069, so 97667 is deficient (1069 is less than 97667). Euler's totient φ(97667) = 96600 numbers up to 97667 share no factor with it.
- 4
The digits of 97667 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97667 = 101 \times 967 \]
97667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 98736 |
| Euler totient φ(n) | 96600 |
| Square | 9538842889 |
| Cube | 931630168439963 |
| Square root | 312.517200 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7667 × |
97667 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and sixty-seven |
| Binary (base 2) | 10111110110000011 |
| Octal (base 8) | 276603 |
| Hexadecimal (base 16) | 17D83 |
| Base 3 | 11221222022 |
| As time | 97667 seconds = 27 h 7 min 47 s |
Is 97667 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 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 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97667 a prime number?
No. 97667 = 101 × 967, so it is divisible by 101.
What are the factors of 97667?
1, 101, 967, 97667.
What is 97667 in binary?
10111110110000011 (hexadecimal 17D83, octal 276603).
What is the square root of 97667?
About 312.5172.
Is 97667 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 97667?
97667 is a semiprime: 101 × 967, the product of two primes.