The number 34764
34764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2897. Divisors (12): 1, 2, 3, 4, 6, 12, 2897, 5794, 8691, 11588, 17382, 34764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34764 is composite. Its prime factorisation is
- 3
The divisors add up to 81144; without 34764 itself that is 46380, so 34764 is abundant (46380 is more than 34764). Euler's totient φ(34764) = 11584 numbers up to 34764 share no factor with it.
- 4
The digits of 34764 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34764 = 2^{2} \times 3 \times 2897 \]34764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81144 |
| Euler totient φ(n) | 11584 |
| Square | 1208535696 |
| Cube | 42013534935744 |
| Square root | 186.451066 (= 2√8691) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.4764 × |
34764 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and sixty-four |
| Binary (base 2) | 1000011111001100 |
| Octal (base 8) | 103714 |
| Hexadecimal (base 16) | 87CC |
| Base 3 | 1202200120 |
| As time | 34764 seconds = 9 h 39 min 24 s |
Is 34764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34764 ÷ 2 = 17382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34764 ÷ 3 = 11588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34764 ÷ 4 = 8691) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34764 ÷ 6 = 5794) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34764 ÷ 12 = 2897) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34764 a prime number?
No. 34764 = × 3 × 2897, so it is divisible by 2.
What are the factors of 34764?
1, 2, 3, 4, 6, 12, 2897, 5794, 8691, 11588, 17382, 34764.
What is 34764 in binary?
1000011111001100 (hexadecimal 87CC, octal 103714).
What is the square root of 34764?
About 186.4511, exactly 2√8691.
Is 34764 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 34764?
It is a composite number with 12 divisors.