The number 20770
20770 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 67. Divisors (16): 1, 2, 5, 10, 31, 62, 67, 134, 155, 310, 335, 670, 2077, 4154, 10385, 20770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20770 is composite. Its prime factorisation is
- 3
The divisors add up to 39168; without 20770 itself that is 18398, so 20770 is deficient (18398 is less than 20770). Euler's totient φ(20770) = 7920 numbers up to 20770 share no factor with it.
- 4
The digits of 20770 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20770 = 2 \times 5 \times 31 \times 67 \]
20770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39168 |
| Euler totient φ(n) | 7920 |
| Square | 431392900 |
| Cube | 8960030533000 |
| Square root | 144.118007 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.077 × |
20770 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and seventy |
| Binary (base 2) | 101000100100010 |
| Octal (base 8) | 50442 |
| Hexadecimal (base 16) | 5122 |
| Base 3 | 1001111021 |
| As time | 20770 seconds = 5 h 46 min 10 s |
Is 20770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20770 ÷ 2 = 10385) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20770 ÷ 5 = 4154) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20770 ÷ 10 = 2077) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20770 a prime number?
No. 20770 = 2 × 5 × 31 × 67, so it is divisible by 2.
What are the factors of 20770?
1, 2, 5, 10, 31, 62, 67, 134, 155, 310, 335, 670, 2077, 4154, 10385, 20770.
What is 20770 in binary?
101000100100010 (hexadecimal 5122, octal 50442).
What is the square root of 20770?
About 144.1180.
Is 20770 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 20770?
It is a composite number with 16 divisors.