The number 20972
20972 is a composite number with 18 divisors. Its prime factorisation is × × 107. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 107, 196, 214, 428, 749, 1498, 2996, 5243 … 20972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20972 is composite. Its prime factorisation is
- 3
The divisors add up to 43092; without 20972 itself that is 22120, so 20972 is abundant (22120 is more than 20972). Euler's totient φ(20972) = 8904 numbers up to 20972 share no factor with it.
- 4
The digits of 20972 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20972 = 2^{2} \times 7^{2} \times 107 \]20972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 43092 |
| Euler totient φ(n) | 8904 |
| Square | 439824784 |
| Cube | 9224005370048 |
| Square root | 144.817126 (= 14√107) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0972 × |
20972 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand nine hundred and seventy-two |
| Binary (base 2) | 101000111101100 |
| Octal (base 8) | 50754 |
| Hexadecimal (base 16) | 51EC |
| Base 3 | 1001202202 |
| As time | 20972 seconds = 5 h 49 min 32 s |
Is 20972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20972 ÷ 2 = 10486) | 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 | Yes (20972 ÷ 4 = 5243) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (20972 ÷ 7 = 2996) | 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 4) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20972 a prime number?
No. 20972 = × × 107, so it is divisible by 2.
What are the factors of 20972?
1, 2, 4, 7, 14, 28, 49, 98, 107, 196, 214, 428, 749, 1498, 2996, 5243, 10486, 20972.
What is 20972 in binary?
101000111101100 (hexadecimal 51EC, octal 50754).
What is the square root of 20972?
About 144.8171, exactly 14√107.
Is 20972 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 20972?
It is a composite number with 18 divisors.