The number 34993
34993 is a composite number with 4 divisors. Its prime factorisation is 7 × 4999. Divisors (4): 1, 7, 4999, 34993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34993: a semiprime: 7 × 4999, the product of two primes.
- 2
34993 is composite. Its prime factorisation is
- 3
The divisors add up to 40000; without 34993 itself that is 5007, so 34993 is deficient (5007 is less than 34993). Euler's totient φ(34993) = 29988 numbers up to 34993 share no factor with it.
- 4
The digits of 34993 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34993 = 7 \times 4999 \]
34993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40000 |
| Euler totient φ(n) | 29988 |
| Square | 1224510049 |
| Cube | 42849280144657 |
| Square root | 187.064160 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4993 × |
34993 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and ninety-three |
| Binary (base 2) | 1000100010110001 |
| Octal (base 8) | 104261 |
| Hexadecimal (base 16) | 88B1 |
| Base 3 | 1210000001 |
| As time | 34993 seconds = 9 h 43 min 13 s |
Is 34993 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34993 ÷ 7 = 4999) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34993 a prime number?
No. 34993 = 7 × 4999, so it is divisible by 7.
What are the factors of 34993?
1, 7, 4999, 34993.
What is 34993 in binary?
1000100010110001 (hexadecimal 88B1, octal 104261).
What is the square root of 34993?
About 187.0642.
Is 34993 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 34993?
34993 is a semiprime: 7 × 4999, the product of two primes.