The number 97746
97746 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1481. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1481, 2962, 4443, 8886, 16291, 32582, 48873, 97746.
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How to work it out
- 1
What is special about 97746: a Harshad number: divisible by its digit sum 33.
- 2
97746 is composite. Its prime factorisation is
- 3
The divisors add up to 213408; without 97746 itself that is 115662, so 97746 is abundant (115662 is more than 97746). Euler's totient φ(97746) = 29600 numbers up to 97746 share no factor with it.
- 4
The digits of 97746 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97746 = 2 \times 3 \times 11 \times 1481 \]
97746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 213408 |
| Euler totient φ(n) | 29600 |
| Square | 9554280516 |
| Cube | 933892703316936 |
| Square root | 312.643567 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7746 × |
97746 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and forty-six |
| Binary (base 2) | 10111110111010010 |
| Octal (base 8) | 276722 |
| Hexadecimal (base 16) | 17DD2 |
| Base 3 | 11222002020 |
| As time | 97746 seconds = 27 h 9 min 6 s |
Is 97746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97746 ÷ 2 = 48873) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97746 ÷ 3 = 32582) | 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 | Yes (97746 ÷ 6 = 16291) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (97746 ÷ 11 = 8886) | 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 97746 a prime number?
No. 97746 = 2 × 3 × 11 × 1481, so it is divisible by 2.
What are the factors of 97746?
1, 2, 3, 6, 11, 22, 33, 66, 1481, 2962, 4443, 8886, 16291, 32582, 48873, 97746.
What is 97746 in binary?
10111110111010010 (hexadecimal 17DD2, octal 276722).
What is the square root of 97746?
About 312.6436.
Is 97746 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 97746?
97746 is a Harshad number: divisible by its digit sum 33.