The number 20072
20072 is a composite number with 16 divisors. Its prime factorisation is × 13 × 193. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 193, 386, 772, 1544, 2509, 5018, 10036, 20072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20072 is composite. Its prime factorisation is
- 3
The divisors add up to 40740; without 20072 itself that is 20668, so 20072 is abundant (20668 is more than 20072). Euler's totient φ(20072) = 9216 numbers up to 20072 share no factor with it.
- 4
The digits of 20072 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20072 = 2^{3} \times 13 \times 193 \]20072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40740 |
| Euler totient φ(n) | 9216 |
| Square | 402885184 |
| Cube | 8086711413248 |
| Square root | 141.675686 (= 2√5018) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0072 × |
20072 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and seventy-two |
| Binary (base 2) | 100111001101000 |
| Octal (base 8) | 47150 |
| Hexadecimal (base 16) | 4E68 |
| Base 3 | 1000112102 |
| As time | 20072 seconds = 5 h 34 min 32 s |
Is 20072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20072 ÷ 2 = 10036) | 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 (20072 ÷ 4 = 5018) | 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 | 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 | Yes (20072 ÷ 8 = 2509) | 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 8) | 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 20072 a prime number?
No. 20072 = × 13 × 193, so it is divisible by 2.
What are the factors of 20072?
1, 2, 4, 8, 13, 26, 52, 104, 193, 386, 772, 1544, 2509, 5018, 10036, 20072.
What is 20072 in binary?
100111001101000 (hexadecimal 4E68, octal 47150).
What is the square root of 20072?
About 141.6757, exactly 2√5018.
Is 20072 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 20072?
It is a composite number with 16 divisors.