The number 71372
71372 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2549. Divisors (12): 1, 2, 4, 7, 14, 28, 2549, 5098, 10196, 17843, 35686, 71372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71372 is composite. Its prime factorisation is
- 3
The divisors add up to 142800; without 71372 itself that is 71428, so 71372 is abundant (71428 is more than 71372). Euler's totient φ(71372) = 30576 numbers up to 71372 share no factor with it.
- 4
The digits of 71372 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71372 = 2^{2} \times 7 \times 2549 \]71372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142800 |
| Euler totient φ(n) | 30576 |
| Square | 5093962384 |
| Cube | 363566283270848 |
| Square root | 267.155385 (= 2√17843) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1372 × |
71372 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and seventy-two |
| Binary (base 2) | 10001011011001100 |
| Octal (base 8) | 213314 |
| Hexadecimal (base 16) | 116CC |
| Base 3 | 10121220102 |
| As time | 71372 seconds = 19 h 49 min 32 s |
Is 71372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71372 ÷ 2 = 35686) | 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 (71372 ÷ 4 = 17843) | 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 (71372 ÷ 7 = 10196) | 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 4) | 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 71372 a prime number?
No. 71372 = × 7 × 2549, so it is divisible by 2.
What are the factors of 71372?
1, 2, 4, 7, 14, 28, 2549, 5098, 10196, 17843, 35686, 71372.
What is 71372 in binary?
10001011011001100 (hexadecimal 116CC, octal 213314).
What is the square root of 71372?
About 267.1554, exactly 2√17843.
Is 71372 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71372?
It is a composite number with 12 divisors.