The number 97136
97136 is a composite number with 20 divisors. Its prime factorisation is × 13 × 467. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 467, 934, 1868, 3736, 6071, 7472 … 97136.
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How to work it out
- 1
What is special about 97136: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.
- 2
97136 is composite. Its prime factorisation is
- 3
The divisors add up to 203112; without 97136 itself that is 105976, so 97136 is abundant (105976 is more than 97136). Euler's totient φ(97136) = 44736 numbers up to 97136 share no factor with it.
- 4
The digits of 97136 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97136 = 2^{4} \times 13 \times 467 \]97136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 203112 |
| Euler totient φ(n) | 44736 |
| Square | 9435402496 |
| Cube | 916517256851456 |
| Square root | 311.666488 (= 4√6071) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7136 × |
97136 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and thirty-six |
| Binary (base 2) | 10111101101110000 |
| Octal (base 8) | 275560 |
| Hexadecimal (base 16) | 17B70 |
| Base 3 | 11221020122 |
| As time | 97136 seconds = 26 h 58 min 56 s |
Is 97136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97136 ÷ 2 = 48568) | 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 (97136 ÷ 4 = 24284) | 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 4) | 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 (97136 ÷ 8 = 12142) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 97136 a prime number?
No. 97136 = × 13 × 467, so it is divisible by 2.
What are the factors of 97136?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 467, 934, 1868, 3736, 6071, 7472, 12142, 24284, 48568, 97136.
What is 97136 in binary?
10111101101110000 (hexadecimal 17B70, octal 275560).
What is the square root of 97136?
About 311.6665, exactly 4√6071.
Is 97136 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97136?
97136 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.