The number 97006
97006 is a composite number with 24 divisors. Its prime factorisation is 2 × 7 × × 41. Divisors (24): 1, 2, 7, 13, 14, 26, 41, 82, 91, 169, 182, 287, 338, 533, 574, 1066 … 97006.
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How to work it out
- 1
97006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97006 is composite. Its prime factorisation is
- 3
The divisors add up to 184464; without 97006 itself that is 87458, so 97006 is deficient (87458 is less than 97006). Euler's totient φ(97006) = 37440 numbers up to 97006 share no factor with it.
- 4
The digits of 97006 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97006 = 2 \times 7 \times 13^{2} \times 41 \]97006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 184464 |
| Euler totient φ(n) | 37440 |
| Square | 9410164036 |
| Cube | 912842372476216 |
| Square root | 311.457862 (= 13√574) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7006 × |
97006 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and six |
| Binary (base 2) | 10111101011101110 |
| Octal (base 8) | 275356 |
| Hexadecimal (base 16) | 17AEE |
| Base 3 | 11221001211 |
| As time | 97006 seconds = 26 h 56 min 46 s |
Is 97006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97006 ÷ 2 = 48503) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97006 ÷ 7 = 13858) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97006 a prime number?
No. 97006 = 2 × 7 × × 41, so it is divisible by 2.
What are the factors of 97006?
1, 2, 7, 13, 14, 26, 41, 82, 91, 169, 182, 287, 338, 533, 574, 1066, 1183, 2366, 3731, 6929, 7462, 13858, 48503, 97006.
What is 97006 in binary?
10111101011101110 (hexadecimal 17AEE, octal 275356).
What is the square root of 97006?
About 311.4579, exactly 13√574.
Is 97006 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97006?
It is a composite number with 24 divisors.