The number 20737
20737 is a composite number with 4 divisors. Its prime factorisation is 89 × 233. Divisors (4): 1, 89, 233, 20737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20737: a semiprime: 89 × 233, the product of two primes.
- 2
20737 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 20737 itself that is 323, so 20737 is deficient (323 is less than 20737). Euler's totient φ(20737) = 20416 numbers up to 20737 share no factor with it.
- 4
The digits of 20737 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20737 = 89 \times 233 \]
20737 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 20416 |
| Square | 430023169 |
| Cube | 8917390455553 |
| Square root | 144.003472 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.0737 × |
20737 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and thirty-seven |
| Binary (base 2) | 101000100000001 |
| Octal (base 8) | 50401 |
| Hexadecimal (base 16) | 5101 |
| Base 3 | 1001110001 |
| As time | 20737 seconds = 5 h 45 min 37 s |
Is 20737 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 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 20737 a prime number?
No. 20737 = 89 × 233, so it is divisible by 89.
What are the factors of 20737?
1, 89, 233, 20737.
What is 20737 in binary?
101000100000001 (hexadecimal 5101, octal 50401).
What is the square root of 20737?
About 144.0035.
Is 20737 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 20737?
20737 is a semiprime: 89 × 233, the product of two primes.