The number 97267
97267 is a composite number with 4 divisors. Its prime factorisation is 23 × 4229. Divisors (4): 1, 23, 4229, 97267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97267: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 4229, the product of two primes.
- 2
97267 is composite. Its prime factorisation is
- 3
The divisors add up to 101520; without 97267 itself that is 4253, so 97267 is deficient (4253 is less than 97267). Euler's totient φ(97267) = 93016 numbers up to 97267 share no factor with it.
- 4
The digits of 97267 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97267 = 23 \times 4229 \]
97267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 101520 |
| Euler totient φ(n) | 93016 |
| Square | 9460869289 |
| Cube | 920230373133163 |
| Square root | 311.876578 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7267 × |
97267 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and sixty-seven |
| Binary (base 2) | 10111101111110011 |
| Octal (base 8) | 275763 |
| Hexadecimal (base 16) | 17BF3 |
| Base 3 | 11221102111 |
| As time | 97267 seconds = 27 h 1 min 7 s |
Is 97267 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 2) | 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 5) | 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 97267 a prime number?
No. 97267 = 23 × 4229, so it is divisible by 23.
What are the factors of 97267?
1, 23, 4229, 97267.
What is 97267 in binary?
10111101111110011 (hexadecimal 17BF3, octal 275763).
What is the square root of 97267?
About 311.8766.
Is 97267 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97267?
97267 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 4229, the product of two primes.