The number 97408
97408 is a composite number with 16 divisors. Its prime factorisation is × 761. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 761, 1522, 3044, 6088, 12176, 24352, 48704, 97408.
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How to work it out
- 1
97408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97408 is composite. Its prime factorisation is
- 3
The divisors add up to 194310; without 97408 itself that is 96902, so 97408 is deficient (96902 is less than 97408). Euler's totient φ(97408) = 48640 numbers up to 97408 share no factor with it.
- 4
The digits of 97408 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97408 = 2^{7} \times 761 \]97408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 194310 |
| Euler totient φ(n) | 48640 |
| Square | 9488318464 |
| Cube | 924238124941312 |
| Square root | 312.102547 (= 8√1522) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7408 × |
97408 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and eight |
| Binary (base 2) | 10111110010000000 |
| Octal (base 8) | 276200 |
| Hexadecimal (base 16) | 17C80 |
| Base 3 | 11221121201 |
| As time | 97408 seconds = 27 h 3 min 28 s |
Is 97408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97408 ÷ 2 = 48704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97408 ÷ 4 = 24352) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (97408 ÷ 8 = 12176) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97408 a prime number?
No. 97408 = × 761, so it is divisible by 2.
What are the factors of 97408?
1, 2, 4, 8, 16, 32, 64, 128, 761, 1522, 3044, 6088, 12176, 24352, 48704, 97408.
What is 97408 in binary?
10111110010000000 (hexadecimal 17C80, octal 276200).
What is the square root of 97408?
About 312.1025, exactly 8√1522.
Is 97408 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97408?
It is a composite number with 16 divisors.