The number 72772
72772 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 113. Divisors (24): 1, 2, 4, 7, 14, 23, 28, 46, 92, 113, 161, 226, 322, 452, 644, 791 … 72772.
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How to work it out
- 1
72772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72772 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 72772 itself that is 80444, so 72772 is abundant (80444 is more than 72772). Euler's totient φ(72772) = 29568 numbers up to 72772 share no factor with it.
- 4
The digits of 72772 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72772 = 2^{2} \times 7 \times 23 \times 113 \]72772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 29568 |
| Square | 5295763984 |
| Cube | 385383336643648 |
| Square root | 269.762859 (= 2√18193) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2772 × |
72772 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and seventy-two |
| Binary (base 2) | 10001110001000100 |
| Octal (base 8) | 216104 |
| Hexadecimal (base 16) | 11C44 |
| Base 3 | 10200211021 |
| As time | 72772 seconds = 20 h 12 min 52 s |
Is 72772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72772 ÷ 2 = 36386) | 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 (72772 ÷ 4 = 18193) | 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 (72772 ÷ 7 = 10396) | 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 7) | 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 7) | 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 72772 a prime number?
No. 72772 = × 7 × 23 × 113, so it is divisible by 2.
What are the factors of 72772?
1, 2, 4, 7, 14, 23, 28, 46, 92, 113, 161, 226, 322, 452, 644, 791, 1582, 2599, 3164, 5198, 10396, 18193, 36386, 72772.
What is 72772 in binary?
10001110001000100 (hexadecimal 11C44, octal 216104).
What is the square root of 72772?
About 269.7629, exactly 2√18193.
Is 72772 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72772?
It is a composite number with 24 divisors.