The number 30772
30772 is a composite number with 18 divisors. Its prime factorisation is × × 157. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 157, 196, 314, 628, 1099, 2198, 4396, 7693 … 30772.
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How to work it out
- 1
30772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30772 is composite. Its prime factorisation is
- 3
The divisors add up to 63042; without 30772 itself that is 32270, so 30772 is abundant (32270 is more than 30772). Euler's totient φ(30772) = 13104 numbers up to 30772 share no factor with it.
- 4
The digits of 30772 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30772 = 2^{2} \times 7^{2} \times 157 \]30772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 63042 |
| Euler totient φ(n) | 13104 |
| Square | 946915984 |
| Cube | 29138498659648 |
| Square root | 175.419497 (= 14√157) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.0772 × |
30772 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand seven hundred and seventy-two |
| Binary (base 2) | 111100000110100 |
| Octal (base 8) | 74064 |
| Hexadecimal (base 16) | 7834 |
| Base 3 | 1120012201 |
| As time | 30772 seconds = 8 h 32 min 52 s |
Is 30772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30772 ÷ 2 = 15386) | 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 (30772 ÷ 4 = 7693) | 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 (30772 ÷ 7 = 4396) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 30772 a prime number?
No. 30772 = × × 157, so it is divisible by 2.
What are the factors of 30772?
1, 2, 4, 7, 14, 28, 49, 98, 157, 196, 314, 628, 1099, 2198, 4396, 7693, 15386, 30772.
What is 30772 in binary?
111100000110100 (hexadecimal 7834, octal 74064).
What is the square root of 30772?
About 175.4195, exactly 14√157.
Is 30772 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 30772?
It is a composite number with 18 divisors.