The number 90426
90426 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 2153. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 2153, 4306, 6459, 12918, 15071, 30142, 45213, 90426.
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How to work it out
- 1
What is special about 90426: a Harshad number: divisible by its digit sum 21.
- 2
90426 is composite. Its prime factorisation is
- 3
The divisors add up to 206784; without 90426 itself that is 116358, so 90426 is abundant (116358 is more than 90426). Euler's totient φ(90426) = 25824 numbers up to 90426 share no factor with it.
- 4
The digits of 90426 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90426 = 2 \times 3 \times 7 \times 2153 \]
90426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 206784 |
| Euler totient φ(n) | 25824 |
| Square | 8176861476 |
| Cube | 739400875828776 |
| Square root | 300.709162 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0426 × |
90426 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand four hundred and twenty-six |
| Binary (base 2) | 10110000100111010 |
| Octal (base 8) | 260472 |
| Hexadecimal (base 16) | 1613A |
| Base 3 | 11121001010 |
| As time | 90426 seconds = 25 h 7 min 6 s |
Is 90426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90426 ÷ 2 = 45213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90426 ÷ 3 = 30142) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (90426 ÷ 6 = 15071) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (90426 ÷ 7 = 12918) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 90426 a prime number?
No. 90426 = 2 × 3 × 7 × 2153, so it is divisible by 2.
What are the factors of 90426?
1, 2, 3, 6, 7, 14, 21, 42, 2153, 4306, 6459, 12918, 15071, 30142, 45213, 90426.
What is 90426 in binary?
10110000100111010 (hexadecimal 1613A, octal 260472).
What is the square root of 90426?
About 300.7092.
Is 90426 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 90426?
90426 is a Harshad number: divisible by its digit sum 21.