The number 90387
90387 is a composite number with 18 divisors. Its prime factorisation is × × 83. Divisors (18): 1, 3, 9, 11, 33, 83, 99, 121, 249, 363, 747, 913, 1089, 2739, 8217, 10043 … 90387.
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How to work it out
- 1
What is special about 90387: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
90387 is composite. Its prime factorisation is
- 3
The divisors add up to 145236; without 90387 itself that is 54849, so 90387 is deficient (54849 is less than 90387). Euler's totient φ(90387) = 54120 numbers up to 90387 share no factor with it.
- 4
The digits of 90387 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90387 = 3^{2} \times 11^{2} \times 83 \]90387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 145236 |
| Euler totient φ(n) | 54120 |
| Square | 8169809769 |
| Cube | 738444595590603 |
| Square root | 300.644308 (= 33√83) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.0387 × |
90387 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand three hundred and eighty-seven |
| Binary (base 2) | 10110000100010011 |
| Octal (base 8) | 260423 |
| Hexadecimal (base 16) | 16113 |
| Base 3 | 11120222200 |
| As time | 90387 seconds = 25 h 6 min 27 s |
Is 90387 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90387 ÷ 3 = 30129) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90387 ÷ 9 = 10043) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (90387 ÷ 11 = 8217) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90387 a prime number?
No. 90387 = × × 83, so it is divisible by 3.
What are the factors of 90387?
1, 3, 9, 11, 33, 83, 99, 121, 249, 363, 747, 913, 1089, 2739, 8217, 10043, 30129, 90387.
What is 90387 in binary?
10110000100010011 (hexadecimal 16113, octal 260423).
What is the square root of 90387?
About 300.6443, exactly 33√83.
Is 90387 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 90387?
90387 is a happy number: repeatedly adding the squares of its digits reaches 1.