The number 42801
42801 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1297. Divisors (8): 1, 3, 11, 33, 1297, 3891, 14267, 42801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42801 is composite. Its prime factorisation is
- 3
The divisors add up to 62304; without 42801 itself that is 19503, so 42801 is deficient (19503 is less than 42801). Euler's totient φ(42801) = 25920 numbers up to 42801 share no factor with it.
- 4
The digits of 42801 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42801 = 3 \times 11 \times 1297 \]
42801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62304 |
| Euler totient φ(n) | 25920 |
| Square | 1831925601 |
| Cube | 78408247648401 |
| Square root | 206.884025 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2801 × |
42801 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and one |
| Binary (base 2) | 1010011100110001 |
| Octal (base 8) | 123461 |
| Hexadecimal (base 16) | A731 |
| Base 3 | 2011201020 |
| As time | 42801 seconds = 11 h 53 min 21 s |
Is 42801 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 (42801 ÷ 3 = 14267) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (42801 ÷ 11 = 3891) | 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 42801 a prime number?
No. 42801 = 3 × 11 × 1297, so it is divisible by 3.
What are the factors of 42801?
1, 3, 11, 33, 1297, 3891, 14267, 42801.
What is 42801 in binary?
1010011100110001 (hexadecimal A731, octal 123461).
What is the square root of 42801?
About 206.8840.
Is 42801 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42801?
It is a composite number with 8 divisors.