The number 34996
34996 is a composite number with 12 divisors. Its prime factorisation is × 13 × 673. Divisors (12): 1, 2, 4, 13, 26, 52, 673, 1346, 2692, 8749, 17498, 34996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34996 is composite. Its prime factorisation is
- 3
The divisors add up to 66052; without 34996 itself that is 31056, so 34996 is deficient (31056 is less than 34996). Euler's totient φ(34996) = 16128 numbers up to 34996 share no factor with it.
- 4
The digits of 34996 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34996 = 2^{2} \times 13 \times 673 \]34996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66052 |
| Euler totient φ(n) | 16128 |
| Square | 1224720016 |
| Cube | 42860301679936 |
| Square root | 187.072179 (= 2√8749) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4996 × |
34996 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and ninety-six |
| Binary (base 2) | 1000100010110100 |
| Octal (base 8) | 104264 |
| Hexadecimal (base 16) | 88B4 |
| Base 3 | 1210000011 |
| As time | 34996 seconds = 9 h 43 min 16 s |
Is 34996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34996 ÷ 2 = 17498) | 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 (34996 ÷ 4 = 8749) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 34996 a prime number?
No. 34996 = × 13 × 673, so it is divisible by 2.
What are the factors of 34996?
1, 2, 4, 13, 26, 52, 673, 1346, 2692, 8749, 17498, 34996.
What is 34996 in binary?
1000100010110100 (hexadecimal 88B4, octal 104264).
What is the square root of 34996?
About 187.0722, exactly 2√8749.
Is 34996 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 34996?
It is a composite number with 12 divisors.