The number 72984
72984 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3041. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3041, 6082, 9123, 12164, 18246, 24328, 36492, 72984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72984 is composite. Its prime factorisation is
- 3
The divisors add up to 182520; without 72984 itself that is 109536, so 72984 is abundant (109536 is more than 72984). Euler's totient φ(72984) = 24320 numbers up to 72984 share no factor with it.
- 4
The digits of 72984 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72984 = 2^{3} \times 3 \times 3041 \]72984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 182520 |
| Euler totient φ(n) | 24320 |
| Square | 5326664256 |
| Cube | 388761264059904 |
| Square root | 270.155511 (= 2√18246) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2984 × |
72984 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and eighty-four |
| Binary (base 2) | 10001110100011000 |
| Octal (base 8) | 216430 |
| Hexadecimal (base 16) | 11D18 |
| Base 3 | 10201010010 |
| As time | 72984 seconds = 20 h 16 min 24 s |
Is 72984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72984 ÷ 2 = 36492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72984 ÷ 3 = 24328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72984 ÷ 4 = 18246) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72984 ÷ 6 = 12164) | 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 (72984 ÷ 8 = 9123) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72984 ÷ 12 = 6082) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72984 a prime number?
No. 72984 = × 3 × 3041, so it is divisible by 2.
What are the factors of 72984?
1, 2, 3, 4, 6, 8, 12, 24, 3041, 6082, 9123, 12164, 18246, 24328, 36492, 72984.
What is 72984 in binary?
10001110100011000 (hexadecimal 11D18, octal 216430).
What is the square root of 72984?
About 270.1555, exactly 2√18246.
Is 72984 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 72984?
It is a composite number with 16 divisors.