The number 20037
20037 is a composite number with 4 divisors. Its prime factorisation is 3 × 6679. Divisors (4): 1, 3, 6679, 20037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20037: a semiprime: 3 × 6679, the product of two primes.
- 2
20037 is composite. Its prime factorisation is
- 3
The divisors add up to 26720; without 20037 itself that is 6683, so 20037 is deficient (6683 is less than 20037). Euler's totient φ(20037) = 13356 numbers up to 20037 share no factor with it.
- 4
The digits of 20037 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20037 = 3 \times 6679 \]
20037 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 26720 |
| Euler totient φ(n) | 13356 |
| Square | 401481369 |
| Cube | 8044482190653 |
| Square root | 141.552111 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.0037 × |
20037 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and thirty-seven |
| Binary (base 2) | 100111001000101 |
| Octal (base 8) | 47105 |
| Hexadecimal (base 16) | 4E45 |
| Base 3 | 1000111010 |
| As time | 20037 seconds = 5 h 33 min 57 s |
Is 20037 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 (20037 ÷ 3 = 6679) | 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 2) | 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 20037 a prime number?
No. 20037 = 3 × 6679, so it is divisible by 3.
What are the factors of 20037?
1, 3, 6679, 20037.
What is 20037 in binary?
100111001000101 (hexadecimal 4E45, octal 47105).
What is the square root of 20037?
About 141.5521.
Is 20037 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20037?
20037 is a semiprime: 3 × 6679, the product of two primes.