The number 71472
71472 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1489. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1489, 2978, 4467, 5956, 8934, 11912 … 71472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71472 is composite. Its prime factorisation is
- 3
The divisors add up to 184760; without 71472 itself that is 113288, so 71472 is abundant (113288 is more than 71472). Euler's totient φ(71472) = 23808 numbers up to 71472 share no factor with it.
- 4
The digits of 71472 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71472 = 2^{4} \times 3 \times 1489 \]71472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 184760 |
| Euler totient φ(n) | 23808 |
| Square | 5108246784 |
| Cube | 365096614146048 |
| Square root | 267.342477 (= 4√4467) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1472 × |
71472 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and seventy-two |
| Binary (base 2) | 10001011100110000 |
| Octal (base 8) | 213460 |
| Hexadecimal (base 16) | 11730 |
| Base 3 | 10122001010 |
| As time | 71472 seconds = 19 h 51 min 12 s |
Is 71472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71472 ÷ 2 = 35736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71472 ÷ 3 = 23824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71472 ÷ 4 = 17868) | 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 (71472 ÷ 6 = 11912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (71472 ÷ 8 = 8934) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71472 ÷ 12 = 5956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71472 a prime number?
No. 71472 = × 3 × 1489, so it is divisible by 2.
What are the factors of 71472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1489, 2978, 4467, 5956, 8934, 11912, 17868, 23824, 35736, 71472.
What is 71472 in binary?
10001011100110000 (hexadecimal 11730, octal 213460).
What is the square root of 71472?
About 267.3425, exactly 4√4467.
Is 71472 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71472?
It is a composite number with 20 divisors.