The number 97616
97616 is a composite number with 10 divisors. Its prime factorisation is × 6101. Divisors (10): 1, 2, 4, 8, 16, 6101, 12202, 24404, 48808, 97616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97616: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97616 is composite. Its prime factorisation is
- 3
The divisors add up to 189162; without 97616 itself that is 91546, so 97616 is deficient (91546 is less than 97616). Euler's totient φ(97616) = 48800 numbers up to 97616 share no factor with it.
- 4
The digits of 97616 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97616 = 2^{4} \times 6101 \]97616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 189162 |
| Euler totient φ(n) | 48800 |
| Square | 9528883456 |
| Cube | 930171487440896 |
| Square root | 312.435593 (= 4√6101) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7616 × |
97616 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and sixteen |
| Binary (base 2) | 10111110101010000 |
| Octal (base 8) | 276520 |
| Hexadecimal (base 16) | 17D50 |
| Base 3 | 11221220102 |
| As time | 97616 seconds = 27 h 6 min 56 s |
Is 97616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97616 ÷ 2 = 48808) | 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 (97616 ÷ 4 = 24404) | 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 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 | Yes (97616 ÷ 8 = 12202) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 97616 a prime number?
No. 97616 = × 6101, so it is divisible by 2.
What are the factors of 97616?
1, 2, 4, 8, 16, 6101, 12202, 24404, 48808, 97616.
What is 97616 in binary?
10111110101010000 (hexadecimal 17D50, octal 276520).
What is the square root of 97616?
About 312.4356, exactly 4√6101.
Is 97616 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97616?
97616 is a happy number: repeatedly adding the squares of its digits reaches 1.