The number 97438
97438 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 43 × 103. Divisors (16): 1, 2, 11, 22, 43, 86, 103, 206, 473, 946, 1133, 2266, 4429, 8858, 48719, 97438.
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How to work it out
- 1
What is special about 97438: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97438 is composite. Its prime factorisation is
- 3
The divisors add up to 164736; without 97438 itself that is 67298, so 97438 is deficient (67298 is less than 97438). Euler's totient φ(97438) = 42840 numbers up to 97438 share no factor with it.
- 4
The digits of 97438 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97438 = 2 \times 11 \times 43 \times 103 \]
97438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164736 |
| Euler totient φ(n) | 42840 |
| Square | 9494163844 |
| Cube | 925092336631672 |
| Square root | 312.150605 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.7438 × |
97438 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and thirty-eight |
| Binary (base 2) | 10111110010011110 |
| Octal (base 8) | 276236 |
| Hexadecimal (base 16) | 17C9E |
| Base 3 | 11221122211 |
| As time | 97438 seconds = 27 h 3 min 58 s |
Is 97438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97438 ÷ 2 = 48719) | 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 | No (remainder 2) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (97438 ÷ 11 = 8858) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97438 a prime number?
No. 97438 = 2 × 11 × 43 × 103, so it is divisible by 2.
What are the factors of 97438?
1, 2, 11, 22, 43, 86, 103, 206, 473, 946, 1133, 2266, 4429, 8858, 48719, 97438.
What is 97438 in binary?
10111110010011110 (hexadecimal 17C9E, octal 276236).
What is the square root of 97438?
About 312.1506.
Is 97438 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97438?
97438 is a happy number: repeatedly adding the squares of its digits reaches 1.