The number 97014
97014 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 19 × 23 × 37. Divisors (32): 1, 2, 3, 6, 19, 23, 37, 38, 46, 57, 69, 74, 111, 114, 138, 222 … 97014.
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How to work it out
- 1
97014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97014 is composite. Its prime factorisation is
- 3
The divisors add up to 218880; without 97014 itself that is 121866, so 97014 is abundant (121866 is more than 97014). Euler's totient φ(97014) = 28512 numbers up to 97014 share no factor with it.
- 4
The digits of 97014 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97014 = 2 \times 3 \times 19 \times 23 \times 37 \]
97014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 218880 |
| Euler totient φ(n) | 28512 |
| Square | 9411716196 |
| Cube | 913068235038744 |
| Square root | 311.470705 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7014 × |
97014 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and fourteen |
| Binary (base 2) | 10111101011110110 |
| Octal (base 8) | 275366 |
| Hexadecimal (base 16) | 17AF6 |
| Base 3 | 11221002010 |
| As time | 97014 seconds = 26 h 56 min 54 s |
Is 97014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97014 ÷ 2 = 48507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97014 ÷ 3 = 32338) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97014 ÷ 6 = 16169) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97014 a prime number?
No. 97014 = 2 × 3 × 19 × 23 × 37, so it is divisible by 2.
What are the factors of 97014?
1, 2, 3, 6, 19, 23, 37, 38, 46, 57, 69, 74, 111, 114, 138, 222, 437, 703, 851, 874, 1311, 1406, 1702, 2109, 2553, 2622, 4218, 5106, 16169, 32338, 48507, 97014.
What is 97014 in binary?
10111101011110110 (hexadecimal 17AF6, octal 275366).
What is the square root of 97014?
About 311.4707.
Is 97014 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 97014?
It is a composite number with 32 divisors.