The number 20472
20472 is a composite number with 16 divisors. Its prime factorisation is × 3 × 853. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 853, 1706, 2559, 3412, 5118, 6824, 10236, 20472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20472 is composite. Its prime factorisation is
- 3
The divisors add up to 51240; without 20472 itself that is 30768, so 20472 is abundant (30768 is more than 20472). Euler's totient φ(20472) = 6816 numbers up to 20472 share no factor with it.
- 4
The digits of 20472 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20472 = 2^{3} \times 3 \times 853 \]20472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51240 |
| Euler totient φ(n) | 6816 |
| Square | 419102784 |
| Cube | 8579872194048 |
| Square root | 143.080397 (= 2√5118) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0472 × |
20472 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and seventy-two |
| Binary (base 2) | 100111111111000 |
| Octal (base 8) | 47770 |
| Hexadecimal (base 16) | 4FF8 |
| Base 3 | 1001002020 |
| As time | 20472 seconds = 5 h 41 min 12 s |
Is 20472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20472 ÷ 2 = 10236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20472 ÷ 3 = 6824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20472 ÷ 4 = 5118) | 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 | Yes (20472 ÷ 6 = 3412) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (20472 ÷ 8 = 2559) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20472 ÷ 12 = 1706) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20472 a prime number?
No. 20472 = × 3 × 853, so it is divisible by 2.
What are the factors of 20472?
1, 2, 3, 4, 6, 8, 12, 24, 853, 1706, 2559, 3412, 5118, 6824, 10236, 20472.
What is 20472 in binary?
100111111111000 (hexadecimal 4FF8, octal 47770).
What is the square root of 20472?
About 143.0804, exactly 2√5118.
Is 20472 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 20472?
It is a composite number with 16 divisors.