The number 97748
97748 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3491. Divisors (12): 1, 2, 4, 7, 14, 28, 3491, 6982, 13964, 24437, 48874, 97748.
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How to work it out
- 1
97748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97748 is composite. Its prime factorisation is
- 3
The divisors add up to 195552; without 97748 itself that is 97804, so 97748 is abundant (97804 is more than 97748). Euler's totient φ(97748) = 41880 numbers up to 97748 share no factor with it.
- 4
The digits of 97748 add up to 35, 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
\[ 97748 = 2^{2} \times 7 \times 3491 \]97748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 195552 |
| Euler totient φ(n) | 41880 |
| Square | 9554671504 |
| Cube | 933950030172992 |
| Square root | 312.646766 (= 2√24437) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7748 × |
97748 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and forty-eight |
| Binary (base 2) | 10111110111010100 |
| Octal (base 8) | 276724 |
| Hexadecimal (base 16) | 17DD4 |
| Base 3 | 11222002022 |
| As time | 97748 seconds = 27 h 9 min 8 s |
Is 97748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97748 ÷ 2 = 48874) | 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 (97748 ÷ 4 = 24437) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (97748 ÷ 7 = 13964) | 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 4) | 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 8) | 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 97748 a prime number?
No. 97748 = × 7 × 3491, so it is divisible by 2.
What are the factors of 97748?
1, 2, 4, 7, 14, 28, 3491, 6982, 13964, 24437, 48874, 97748.
What is 97748 in binary?
10111110111010100 (hexadecimal 17DD4, octal 276724).
What is the square root of 97748?
About 312.6468, exactly 2√24437.
Is 97748 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 97748?
It is a composite number with 12 divisors.