The number 42601
42601 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 113. Divisors (8): 1, 13, 29, 113, 377, 1469, 3277, 42601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42601: a Harshad number: divisible by its digit sum 13.
- 2
42601 is composite. Its prime factorisation is
- 3
The divisors add up to 47880; without 42601 itself that is 5279, so 42601 is deficient (5279 is less than 42601). Euler's totient φ(42601) = 37632 numbers up to 42601 share no factor with it.
- 4
The digits of 42601 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42601 = 13 \times 29 \times 113 \]
42601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47880 |
| Euler totient φ(n) | 37632 |
| Square | 1814845201 |
| Cube | 77314220407801 |
| Square root | 206.400097 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2601 × |
42601 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and one |
| Binary (base 2) | 1010011001101001 |
| Octal (base 8) | 123151 |
| Hexadecimal (base 16) | A669 |
| Base 3 | 2011102211 |
| As time | 42601 seconds = 11 h 50 min 1 s |
Is 42601 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42601 a prime number?
No. 42601 = 13 × 29 × 113, so it is divisible by 13.
What are the factors of 42601?
1, 13, 29, 113, 377, 1469, 3277, 42601.
What is 42601 in binary?
1010011001101001 (hexadecimal A669, octal 123151).
What is the square root of 42601?
About 206.4001.
Is 42601 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42601?
42601 is a Harshad number: divisible by its digit sum 13.