The number 90428
90428 is a composite number with 24 divisors. Its prime factorisation is × 13 × 37 × 47. Divisors (24): 1, 2, 4, 13, 26, 37, 47, 52, 74, 94, 148, 188, 481, 611, 962, 1222 … 90428.
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How to work it out
- 1
90428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90428 is composite. Its prime factorisation is
- 3
The divisors add up to 178752; without 90428 itself that is 88324, so 90428 is deficient (88324 is less than 90428). Euler's totient φ(90428) = 39744 numbers up to 90428 share no factor with it.
- 4
The digits of 90428 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90428 = 2^{2} \times 13 \times 37 \times 47 \]90428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 178752 |
| Euler totient φ(n) | 39744 |
| Square | 8177223184 |
| Cube | 739449938082752 |
| Square root | 300.712487 (= 2√22607) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0428 × |
90428 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand four hundred and twenty-eight |
| Binary (base 2) | 10110000100111100 |
| Octal (base 8) | 260474 |
| Hexadecimal (base 16) | 1613C |
| Base 3 | 11121001012 |
| As time | 90428 seconds = 25 h 7 min 8 s |
Is 90428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90428 ÷ 2 = 45214) | 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 (90428 ÷ 4 = 22607) | 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 2) | 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 4) | 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 8) | 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 90428 a prime number?
No. 90428 = × 13 × 37 × 47, so it is divisible by 2.
What are the factors of 90428?
1, 2, 4, 13, 26, 37, 47, 52, 74, 94, 148, 188, 481, 611, 962, 1222, 1739, 1924, 2444, 3478, 6956, 22607, 45214, 90428.
What is 90428 in binary?
10110000100111100 (hexadecimal 1613C, octal 260474).
What is the square root of 90428?
About 300.7125, exactly 2√22607.
Is 90428 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 90428?
It is a composite number with 24 divisors.