The number 97448
97448 is a composite number with 16 divisors. Its prime factorisation is × 13 × 937. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 937, 1874, 3748, 7496, 12181, 24362, 48724, 97448.
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How to work it out
- 1
What is special about 97448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97448 is composite. Its prime factorisation is
- 3
The divisors add up to 196980; without 97448 itself that is 99532, so 97448 is abundant (99532 is more than 97448). Euler's totient φ(97448) = 44928 numbers up to 97448 share no factor with it.
- 4
The digits of 97448 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97448 = 2^{3} \times 13 \times 937 \]97448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 196980 |
| Euler totient φ(n) | 44928 |
| Square | 9496112704 |
| Cube | 925377190779392 |
| Square root | 312.166622 (= 2√24362) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7448 × |
97448 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and forty-eight |
| Binary (base 2) | 10111110010101000 |
| Octal (base 8) | 276250 |
| Hexadecimal (base 16) | 17CA8 |
| Base 3 | 11221200012 |
| As time | 97448 seconds = 27 h 4 min 8 s |
Is 97448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97448 ÷ 2 = 48724) | 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 (97448 ÷ 4 = 24362) | 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 | 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 (97448 ÷ 8 = 12181) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 97448 a prime number?
No. 97448 = × 13 × 937, so it is divisible by 2.
What are the factors of 97448?
1, 2, 4, 8, 13, 26, 52, 104, 937, 1874, 3748, 7496, 12181, 24362, 48724, 97448.
What is 97448 in binary?
10111110010101000 (hexadecimal 17CA8, octal 276250).
What is the square root of 97448?
About 312.1666, exactly 2√24362.
Is 97448 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97448?
97448 is a happy number: repeatedly adding the squares of its digits reaches 1.