The number 33958
33958 is a composite number with 4 divisors. Its prime factorisation is 2 × 16979. Divisors (4): 1, 2, 16979, 33958.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33958: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16979, the product of two primes.
- 2
33958 is composite. Its prime factorisation is
- 3
The divisors add up to 50940; without 33958 itself that is 16982, so 33958 is deficient (16982 is less than 33958). Euler's totient φ(33958) = 16978 numbers up to 33958 share no factor with it.
- 4
The digits of 33958 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33958 = 2 \times 16979 \]
33958 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50940 |
| Euler totient φ(n) | 16978 |
| Square | 1153145764 |
| Cube | 39158523853912 |
| Square root | 184.276965 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3958 × |
33958 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and fifty-eight |
| Binary (base 2) | 1000010010100110 |
| Octal (base 8) | 102246 |
| Hexadecimal (base 16) | 84A6 |
| Base 3 | 1201120201 |
| As time | 33958 seconds = 9 h 25 min 58 s |
Is 33958 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33958 ÷ 2 = 16979) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33958 a prime number?
No. 33958 = 2 × 16979, so it is divisible by 2.
What are the factors of 33958?
1, 2, 16979, 33958.
What is 33958 in binary?
1000010010100110 (hexadecimal 84A6, octal 102246).
What is the square root of 33958?
About 184.2770.
Is 33958 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33958?
33958 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16979, the product of two primes.