The number 72316
72316 is a composite number with 12 divisors. Its prime factorisation is × 101 × 179. Divisors (12): 1, 2, 4, 101, 179, 202, 358, 404, 716, 18079, 36158, 72316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72316 is composite. Its prime factorisation is
- 3
The divisors add up to 128520; without 72316 itself that is 56204, so 72316 is deficient (56204 is less than 72316). Euler's totient φ(72316) = 35600 numbers up to 72316 share no factor with it.
- 4
The digits of 72316 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72316 = 2^{2} \times 101 \times 179 \]72316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 128520 |
| Euler totient φ(n) | 35600 |
| Square | 5229603856 |
| Cube | 378184032450496 |
| Square root | 268.916344 (= 2√18079) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2316 × |
72316 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and sixteen |
| Binary (base 2) | 10001101001111100 |
| Octal (base 8) | 215174 |
| Hexadecimal (base 16) | 11A7C |
| Base 3 | 10200012101 |
| As time | 72316 seconds = 20 h 5 min 16 s |
Is 72316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72316 ÷ 2 = 36158) | 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 (72316 ÷ 4 = 18079) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 72316 a prime number?
No. 72316 = × 101 × 179, so it is divisible by 2.
What are the factors of 72316?
1, 2, 4, 101, 179, 202, 358, 404, 716, 18079, 36158, 72316.
What is 72316 in binary?
10001101001111100 (hexadecimal 11A7C, octal 215174).
What is the square root of 72316?
About 268.9163, exactly 2√18079.
Is 72316 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72316?
It is a composite number with 12 divisors.