The number 97016
97016 is a composite number with 16 divisors. Its prime factorisation is × 67 × 181. Divisors (16): 1, 2, 4, 8, 67, 134, 181, 268, 362, 536, 724, 1448, 12127, 24254, 48508, 97016.
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How to work it out
- 1
What is special about 97016: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97016 is composite. Its prime factorisation is
- 3
The divisors add up to 185640; without 97016 itself that is 88624, so 97016 is deficient (88624 is less than 97016). Euler's totient φ(97016) = 47520 numbers up to 97016 share no factor with it.
- 4
The digits of 97016 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97016 = 2^{3} \times 67 \times 181 \]97016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 185640 |
| Euler totient φ(n) | 47520 |
| Square | 9412104256 |
| Cube | 913124706500096 |
| Square root | 311.473915 (= 2√24254) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7016 × |
97016 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and sixteen |
| Binary (base 2) | 10111101011111000 |
| Octal (base 8) | 275370 |
| Hexadecimal (base 16) | 17AF8 |
| Base 3 | 11221002012 |
| As time | 97016 seconds = 26 h 56 min 56 s |
Is 97016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97016 ÷ 2 = 48508) | 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 | Yes (97016 ÷ 4 = 24254) | 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 2) | 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 | Yes (97016 ÷ 8 = 12127) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97016 a prime number?
No. 97016 = × 67 × 181, so it is divisible by 2.
What are the factors of 97016?
1, 2, 4, 8, 67, 134, 181, 268, 362, 536, 724, 1448, 12127, 24254, 48508, 97016.
What is 97016 in binary?
10111101011111000 (hexadecimal 17AF8, octal 275370).
What is the square root of 97016?
About 311.4739, exactly 2√24254.
Is 97016 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97016?
97016 is a happy number: repeatedly adding the squares of its digits reaches 1.