The number 20572
20572 is a composite number with 12 divisors. Its prime factorisation is × 37 × 139. Divisors (12): 1, 2, 4, 37, 74, 139, 148, 278, 556, 5143, 10286, 20572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
20572 is composite. Its prime factorisation is
- 3
The divisors add up to 37240; without 20572 itself that is 16668, so 20572 is deficient (16668 is less than 20572). Euler's totient φ(20572) = 9936 numbers up to 20572 share no factor with it.
- 4
The digits of 20572 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20572 = 2^{2} \times 37 \times 139 \]20572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 37240 |
| Euler totient φ(n) | 9936 |
| Square | 423207184 |
| Cube | 8706218189248 |
| Square root | 143.429425 (= 2√5143) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0572 × |
20572 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand five hundred and seventy-two |
| Binary (base 2) | 101000001011100 |
| Octal (base 8) | 50134 |
| Hexadecimal (base 16) | 505C |
| Base 3 | 1001012221 |
| As time | 20572 seconds = 5 h 42 min 52 s |
Is 20572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20572 ÷ 2 = 10286) | 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 | Yes (20572 ÷ 4 = 5143) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20572 a prime number?
No. 20572 = × 37 × 139, so it is divisible by 2.
What are the factors of 20572?
1, 2, 4, 37, 74, 139, 148, 278, 556, 5143, 10286, 20572.
What is 20572 in binary?
101000001011100 (hexadecimal 505C, octal 50134).
What is the square root of 20572?
About 143.4294, exactly 2√5143.
Is 20572 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 20572?
20572 is a happy number: repeatedly adding the squares of its digits reaches 1.