The number 90738
90738 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278, 5041, 10082, 15123, 30246 … 90738.
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How to work it out
- 1
What is special about 90738: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
90738 is composite. Its prime factorisation is
- 3
The divisors add up to 199407; without 90738 itself that is 108669, so 90738 is abundant (108669 is more than 90738). Euler's totient φ(90738) = 29820 numbers up to 90738 share no factor with it.
- 4
The digits of 90738 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90738 = 2 \times 3^{2} \times 71^{2} \]90738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 199407 |
| Euler totient φ(n) | 29820 |
| Square | 8233384644 |
| Cube | 747080855827272 |
| Square root | 301.227489 (= 213√2) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0738 × |
90738 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand seven hundred and thirty-eight |
| Binary (base 2) | 10110001001110010 |
| Octal (base 8) | 261162 |
| Hexadecimal (base 16) | 16272 |
| Base 3 | 11121110200 |
| As time | 90738 seconds = 25 h 12 min 18 s |
Is 90738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90738 ÷ 2 = 45369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90738 ÷ 3 = 30246) | 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 | Yes (90738 ÷ 6 = 15123) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (90738 ÷ 9 = 10082) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90738 a prime number?
No. 90738 = 2 × × , so it is divisible by 2.
What are the factors of 90738?
1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278, 5041, 10082, 15123, 30246, 45369, 90738.
What is 90738 in binary?
10110001001110010 (hexadecimal 16272, octal 261162).
What is the square root of 90738?
About 301.2275, exactly 213√2.
Is 90738 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 90738?
90738 is a happy number: repeatedly adding the squares of its digits reaches 1.