The number 34984
34984 is a composite number with 8 divisors. Its prime factorisation is × 4373. Divisors (8): 1, 2, 4, 8, 4373, 8746, 17492, 34984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34984 is composite. Its prime factorisation is
- 3
The divisors add up to 65610; without 34984 itself that is 30626, so 34984 is deficient (30626 is less than 34984). Euler's totient φ(34984) = 17488 numbers up to 34984 share no factor with it.
- 4
The digits of 34984 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34984 = 2^{3} \times 4373 \]34984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65610 |
| Euler totient φ(n) | 17488 |
| Square | 1223880256 |
| Cube | 42816226875904 |
| Square root | 187.040103 (= 2√8746) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.4984 × |
34984 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and eighty-four |
| Binary (base 2) | 1000100010101000 |
| Octal (base 8) | 104250 |
| Hexadecimal (base 16) | 88A8 |
| Base 3 | 1202222201 |
| As time | 34984 seconds = 9 h 43 min 4 s |
Is 34984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34984 ÷ 2 = 17492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34984 ÷ 4 = 8746) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (34984 ÷ 8 = 4373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34984 a prime number?
No. 34984 = × 4373, so it is divisible by 2.
What are the factors of 34984?
1, 2, 4, 8, 4373, 8746, 17492, 34984.
What is 34984 in binary?
1000100010101000 (hexadecimal 88A8, octal 104250).
What is the square root of 34984?
About 187.0401, exactly 2√8746.
Is 34984 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 34984?
It is a composite number with 8 divisors.