The number 14772
14772 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1231. Divisors (12): 1, 2, 3, 4, 6, 12, 1231, 2462, 3693, 4924, 7386, 14772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14772 is composite. Its prime factorisation is
- 3
The divisors add up to 34496; without 14772 itself that is 19724, so 14772 is abundant (19724 is more than 14772). Euler's totient φ(14772) = 4920 numbers up to 14772 share no factor with it.
- 4
The digits of 14772 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14772 = 2^{2} \times 3 \times 1231 \]14772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34496 |
| Euler totient φ(n) | 4920 |
| Square | 218211984 |
| Cube | 3223427427648 |
| Square root | 121.540117 (= 2√3693) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4772 × |
14772 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and seventy-two |
| Binary (base 2) | 11100110110100 |
| Octal (base 8) | 34664 |
| Hexadecimal (base 16) | 39B4 |
| Base 3 | 202021010 |
| As time | 14772 seconds = 4 h 6 min 12 s |
Is 14772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14772 ÷ 2 = 7386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14772 ÷ 3 = 4924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14772 ÷ 4 = 3693) | 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 (14772 ÷ 6 = 2462) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14772 ÷ 12 = 1231) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14772 a prime number?
No. 14772 = × 3 × 1231, so it is divisible by 2.
What are the factors of 14772?
1, 2, 3, 4, 6, 12, 1231, 2462, 3693, 4924, 7386, 14772.
What is 14772 in binary?
11100110110100 (hexadecimal 39B4, octal 34664).
What is the square root of 14772?
About 121.5401, exactly 2√3693.
Is 14772 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 14772?
It is a composite number with 12 divisors.