The number 90741
90741 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 29 × 149. Divisors (16): 1, 3, 7, 21, 29, 87, 149, 203, 447, 609, 1043, 3129, 4321, 12963, 30247, 90741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90741: a Harshad number: divisible by its digit sum 21.
- 2
90741 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 90741 itself that is 53259, so 90741 is deficient (53259 is less than 90741). Euler's totient φ(90741) = 49728 numbers up to 90741 share no factor with it.
- 4
The digits of 90741 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 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90741 = 3 \times 7 \times 29 \times 149 \]
90741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 49728 |
| Square | 8233929081 |
| Cube | 747154958739021 |
| Square root | 301.232468 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.0741 × |
90741 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand seven hundred and forty-one |
| Binary (base 2) | 10110001001110101 |
| Octal (base 8) | 261165 |
| Hexadecimal (base 16) | 16275 |
| Base 3 | 11121110210 |
| As time | 90741 seconds = 25 h 12 min 21 s |
Is 90741 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 (90741 ÷ 3 = 30247) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (90741 ÷ 7 = 12963) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90741 a prime number?
No. 90741 = 3 × 7 × 29 × 149, so it is divisible by 3.
What are the factors of 90741?
1, 3, 7, 21, 29, 87, 149, 203, 447, 609, 1043, 3129, 4321, 12963, 30247, 90741.
What is 90741 in binary?
10110001001110101 (hexadecimal 16275, octal 261165).
What is the square root of 90741?
About 301.2325.
Is 90741 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 90741?
90741 is a Harshad number: divisible by its digit sum 21.