The number 37001
37001 is a composite number with 4 divisors. Its prime factorisation is 163 × 227. Divisors (4): 1, 163, 227, 37001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37001: a semiprime: 163 × 227, the product of two primes.
- 2
37001 is composite. Its prime factorisation is
- 3
The divisors add up to 37392; without 37001 itself that is 391, so 37001 is deficient (391 is less than 37001). Euler's totient φ(37001) = 36612 numbers up to 37001 share no factor with it.
- 4
The digits of 37001 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37001 = 163 \times 227 \]
37001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37392 |
| Euler totient φ(n) | 36612 |
| Square | 1369074001 |
| Cube | 50657107111001 |
| Square root | 192.356440 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.7001 × |
37001 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and one |
| Binary (base 2) | 1001000010001001 |
| Octal (base 8) | 110211 |
| Hexadecimal (base 16) | 9089 |
| Base 3 | 1212202102 |
| As time | 37001 seconds = 10 h 16 min 41 s |
Is 37001 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 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 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 8) | 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 37001 a prime number?
No. 37001 = 163 × 227, so it is divisible by 163.
What are the factors of 37001?
1, 163, 227, 37001.
What is 37001 in binary?
1001000010001001 (hexadecimal 9089, octal 110211).
What is the square root of 37001?
About 192.3564.
Is 37001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 37001?
37001 is a semiprime: 163 × 227, the product of two primes.