The number 17772
17772 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1481. Divisors (12): 1, 2, 3, 4, 6, 12, 1481, 2962, 4443, 5924, 8886, 17772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17772 is composite. Its prime factorisation is
- 3
The divisors add up to 41496; without 17772 itself that is 23724, so 17772 is abundant (23724 is more than 17772). Euler's totient φ(17772) = 5920 numbers up to 17772 share no factor with it.
- 4
The digits of 17772 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17772 = 2^{2} \times 3 \times 1481 \]17772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41496 |
| Euler totient φ(n) | 5920 |
| Square | 315843984 |
| Cube | 5613179283648 |
| Square root | 133.311665 (= 2√4443) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.7772 × |
17772 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand seven hundred and seventy-two |
| Binary (base 2) | 100010101101100 |
| Octal (base 8) | 42554 |
| Hexadecimal (base 16) | 456C |
| Base 3 | 220101020 |
| As time | 17772 seconds = 4 h 56 min 12 s |
Is 17772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17772 ÷ 2 = 8886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17772 ÷ 3 = 5924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17772 ÷ 4 = 4443) | 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 | Yes (17772 ÷ 6 = 2962) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (17772 ÷ 12 = 1481) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17772 a prime number?
No. 17772 = × 3 × 1481, so it is divisible by 2.
What are the factors of 17772?
1, 2, 3, 4, 6, 12, 1481, 2962, 4443, 5924, 8886, 17772.
What is 17772 in binary?
100010101101100 (hexadecimal 456C, octal 42554).
What is the square root of 17772?
About 133.3117, exactly 2√4443.
Is 17772 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 17772?
It is a composite number with 12 divisors.