The number 6762
6762 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 23. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161 … 6762.
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How to work it out
- 1
What is special about 6762: a Harshad number: divisible by its digit sum 21.
- 2
6762 is composite. Its prime factorisation is
- 3
The divisors add up to 16416; without 6762 itself that is 9654, so 6762 is abundant (9654 is more than 6762). Euler's totient φ(6762) = 1848 numbers up to 6762 share no factor with it.
- 4
The digits of 6762 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6762 = 2 \times 3 \times 7^{2} \times 23 \]6762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16416 |
| Euler totient φ(n) | 1848 |
| Square | 45724644 |
| Cube | 309190042728 |
| Square root | 82.231381 (= 7√138) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.762 × |
6762 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-two |
| Binary (base 2) | 1101001101010 |
| Octal (base 8) | 15152 |
| Hexadecimal (base 16) | 1A6A |
| Base 3 | 100021110 |
| As time | 6762 seconds = 1 h 52 min 42 s |
Is 6762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6762 ÷ 2 = 3381) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6762 ÷ 3 = 2254) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (6762 ÷ 6 = 1127) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6762 ÷ 7 = 966) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6762 a prime number?
No. 6762 = 2 × 3 × × 23, so it is divisible by 2.
What are the factors of 6762?
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762.
What is 6762 in binary?
1101001101010 (hexadecimal 1A6A, octal 15152).
What is the square root of 6762?
About 82.2314, exactly 7√138.
Is 6762 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6762?
6762 is a Harshad number: divisible by its digit sum 21.