The number 18772
18772 is a composite number with 18 divisors. Its prime factorisation is × 13 × . Divisors (18): 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 361, 494, 722, 988, 1444, 4693 … 18772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18772 is composite. Its prime factorisation is
- 3
The divisors add up to 37338; without 18772 itself that is 18566, so 18772 is deficient (18566 is less than 18772). Euler's totient φ(18772) = 8208 numbers up to 18772 share no factor with it.
- 4
The digits of 18772 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18772 = 2^{2} \times 13 \times 19^{2} \]18772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 37338 |
| Euler totient φ(n) | 8208 |
| Square | 352387984 |
| Cube | 6615027235648 |
| Square root | 137.010948 (= 38√13) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8772 × |
18772 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and seventy-two |
| Binary (base 2) | 100100101010100 |
| Octal (base 8) | 44524 |
| Hexadecimal (base 16) | 4954 |
| Base 3 | 221202021 |
| As time | 18772 seconds = 5 h 12 min 52 s |
Is 18772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18772 ÷ 2 = 9386) | 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 (18772 ÷ 4 = 4693) | 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 | No (remainder 5) | 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 6) | 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 18772 a prime number?
No. 18772 = × 13 × , so it is divisible by 2.
What are the factors of 18772?
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 361, 494, 722, 988, 1444, 4693, 9386, 18772.
What is 18772 in binary?
100100101010100 (hexadecimal 4954, octal 44524).
What is the square root of 18772?
About 137.0109, exactly 38√13.
Is 18772 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 18772?
18772 is a happy number: repeatedly adding the squares of its digits reaches 1.