The number 72982
72982 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 401. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 182, 401, 802, 2807, 5213, 5614, 10426, 36491, 72982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72982 is composite. Its prime factorisation is
- 3
The divisors add up to 135072; without 72982 itself that is 62090, so 72982 is deficient (62090 is less than 72982). Euler's totient φ(72982) = 28800 numbers up to 72982 share no factor with it.
- 4
The digits of 72982 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72982 = 2 \times 7 \times 13 \times 401 \]
72982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135072 |
| Euler totient φ(n) | 28800 |
| Square | 5326372324 |
| Cube | 388729304950168 |
| Square root | 270.151809 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2982 × |
72982 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and eighty-two |
| Binary (base 2) | 10001110100010110 |
| Octal (base 8) | 216426 |
| Hexadecimal (base 16) | 11D16 |
| Base 3 | 10201010001 |
| As time | 72982 seconds = 20 h 16 min 22 s |
Is 72982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72982 ÷ 2 = 36491) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72982 ÷ 7 = 10426) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72982 a prime number?
No. 72982 = 2 × 7 × 13 × 401, so it is divisible by 2.
What are the factors of 72982?
1, 2, 7, 13, 14, 26, 91, 182, 401, 802, 2807, 5213, 5614, 10426, 36491, 72982.
What is 72982 in binary?
10001110100010110 (hexadecimal 11D16, octal 216426).
What is the square root of 72982?
About 270.1518.
Is 72982 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 72982?
It is a composite number with 16 divisors.