The number 62772
62772 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5231. Divisors (12): 1, 2, 3, 4, 6, 12, 5231, 10462, 15693, 20924, 31386, 62772.
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How to work it out
- 1
62772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62772 is composite. Its prime factorisation is
- 3
The divisors add up to 146496; without 62772 itself that is 83724, so 62772 is abundant (83724 is more than 62772). Euler's totient φ(62772) = 20920 numbers up to 62772 share no factor with it.
- 4
The digits of 62772 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 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62772 = 2^{2} \times 3 \times 5231 \]62772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 146496 |
| Euler totient φ(n) | 20920 |
| Square | 3940323984 |
| Cube | 247342017123648 |
| Square root | 250.543409 (= 2√15693) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.2772 × |
62772 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand seven hundred and seventy-two |
| Binary (base 2) | 1111010100110100 |
| Octal (base 8) | 172464 |
| Hexadecimal (base 16) | F534 |
| Base 3 | 10012002220 |
| As time | 62772 seconds = 17 h 26 min 12 s |
Is 62772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62772 ÷ 2 = 31386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62772 ÷ 3 = 20924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62772 ÷ 4 = 15693) | 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 (62772 ÷ 6 = 10462) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (62772 ÷ 12 = 5231) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62772 a prime number?
No. 62772 = × 3 × 5231, so it is divisible by 2.
What are the factors of 62772?
1, 2, 3, 4, 6, 12, 5231, 10462, 15693, 20924, 31386, 62772.
What is 62772 in binary?
1111010100110100 (hexadecimal F534, octal 172464).
What is the square root of 62772?
About 250.5434, exactly 2√15693.
Is 62772 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 62772?
It is a composite number with 12 divisors.