The number 34884
34884 is a composite number with 48 divisors. Its prime factorisation is × × 17 × 19. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 17, 18, 19, 27, 34, 36, 38, 51, 54 … 34884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34884: a Harshad number: divisible by its digit sum 27.
- 2
34884 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 34884 itself that is 65916, so 34884 is abundant (65916 is more than 34884). Euler's totient φ(34884) = 10368 numbers up to 34884 share no factor with it.
- 4
The digits of 34884 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34884 = 2^{2} \times 3^{3} \times 17 \times 19 \]34884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 10368 |
| Square | 1216893456 |
| Cube | 42450111319104 |
| Square root | 186.772589 (= 6√969) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.4884 × |
34884 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and eighty-four |
| Binary (base 2) | 1000100001000100 |
| Octal (base 8) | 104104 |
| Hexadecimal (base 16) | 8844 |
| Base 3 | 1202212000 |
| As time | 34884 seconds = 9 h 41 min 24 s |
Is 34884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34884 ÷ 2 = 17442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34884 ÷ 3 = 11628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34884 ÷ 4 = 8721) | 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 (34884 ÷ 6 = 5814) | 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 | Yes (34884 ÷ 9 = 3876) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (34884 ÷ 12 = 2907) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34884 a prime number?
No. 34884 = × × 17 × 19, so it is divisible by 2.
What are the factors of 34884?
1, 2, 3, 4, 6, 9, 12, 17, 18, 19, 27, 34, 36, 38, 51, 54, 57, 68, 76, 102, 108, 114, 153, 171, 204, 228, 306, 323, 342, 459, 513, 612, 646, 684, 918, 969, 1026, 1292, 1836, 1938, 2052, 2907, 3876, 5814, 8721, 11628, 17442, 34884.
What is 34884 in binary?
1000100001000100 (hexadecimal 8844, octal 104104).
What is the square root of 34884?
About 186.7726, exactly 6√969.
Is 34884 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 34884?
34884 is a Harshad number: divisible by its digit sum 27.