The number 80972
80972 is a composite number with 12 divisors. Its prime factorisation is × 31 × 653. Divisors (12): 1, 2, 4, 31, 62, 124, 653, 1306, 2612, 20243, 40486, 80972.
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How to work it out
- 1
80972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80972 is composite. Its prime factorisation is
- 3
The divisors add up to 146496; without 80972 itself that is 65524, so 80972 is deficient (65524 is less than 80972). Euler's totient φ(80972) = 39120 numbers up to 80972 share no factor with it.
- 4
The digits of 80972 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80972 = 2^{2} \times 31 \times 653 \]80972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 146496 |
| Euler totient φ(n) | 39120 |
| Square | 6556464784 |
| Cube | 530890066490048 |
| Square root | 284.555794 (= 2√20243) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0972 × |
80972 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and seventy-two |
| Binary (base 2) | 10011110001001100 |
| Octal (base 8) | 236114 |
| Hexadecimal (base 16) | 13C4C |
| Base 3 | 11010001222 |
| As time | 80972 seconds = 22 h 29 min 32 s |
Is 80972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80972 ÷ 2 = 40486) | 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 (80972 ÷ 4 = 20243) | 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 | No (remainder 3) | 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 8) | 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 1) | 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 80972 a prime number?
No. 80972 = × 31 × 653, so it is divisible by 2.
What are the factors of 80972?
1, 2, 4, 31, 62, 124, 653, 1306, 2612, 20243, 40486, 80972.
What is 80972 in binary?
10011110001001100 (hexadecimal 13C4C, octal 236114).
What is the square root of 80972?
About 284.5558, exactly 2√20243.
Is 80972 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 80972?
It is a composite number with 12 divisors.