The number 20937
20937 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 997. Divisors (8): 1, 3, 7, 21, 997, 2991, 6979, 20937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20937: a Harshad number: divisible by its digit sum 21.
- 2
20937 is composite. Its prime factorisation is
- 3
The divisors add up to 31936; without 20937 itself that is 10999, so 20937 is deficient (10999 is less than 20937). Euler's totient φ(20937) = 11952 numbers up to 20937 share no factor with it.
- 4
The digits of 20937 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20937 = 3 \times 7 \times 997 \]
20937 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31936 |
| Euler totient φ(n) | 11952 |
| Square | 438357969 |
| Cube | 9177900796953 |
| Square root | 144.696234 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.0937 × |
20937 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand nine hundred and thirty-seven |
| Binary (base 2) | 101000111001001 |
| Octal (base 8) | 50711 |
| Hexadecimal (base 16) | 51C9 |
| Base 3 | 1001201110 |
| As time | 20937 seconds = 5 h 48 min 57 s |
Is 20937 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 (20937 ÷ 3 = 6979) | 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 | Yes (20937 ÷ 7 = 2991) | 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 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 4) | 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 20937 a prime number?
No. 20937 = 3 × 7 × 997, so it is divisible by 3.
What are the factors of 20937?
1, 3, 7, 21, 997, 2991, 6979, 20937.
What is 20937 in binary?
101000111001001 (hexadecimal 51C9, octal 50711).
What is the square root of 20937?
About 144.6962.
Is 20937 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 20937?
20937 is a Harshad number: divisible by its digit sum 21.