The number 46001
46001 is a composite number with 4 divisors. Its prime factorisation is 157 × 293. Divisors (4): 1, 157, 293, 46001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46001: a semiprime: 157 × 293, the product of two primes.
- 2
46001 is composite. Its prime factorisation is
- 3
The divisors add up to 46452; without 46001 itself that is 451, so 46001 is deficient (451 is less than 46001). Euler's totient φ(46001) = 45552 numbers up to 46001 share no factor with it.
- 4
The digits of 46001 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46001 = 157 \times 293 \]
46001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 46452 |
| Euler totient φ(n) | 45552 |
| Square | 2116092001 |
| Cube | 97342348138001 |
| Square root | 214.478437 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6001 × |
46001 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and one |
| Binary (base 2) | 1011001110110001 |
| Octal (base 8) | 131661 |
| Hexadecimal (base 16) | B3B1 |
| Base 3 | 2100002202 |
| As time | 46001 seconds = 12 h 46 min 41 s |
Is 46001 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46001 a prime number?
No. 46001 = 157 × 293, so it is divisible by 157.
What are the factors of 46001?
1, 157, 293, 46001.
What is 46001 in binary?
1011001110110001 (hexadecimal B3B1, octal 131661).
What is the square root of 46001?
About 214.4784.
Is 46001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 46001?
46001 is a semiprime: 157 × 293, the product of two primes.