The number 33962
33962 is a composite number with 4 divisors. Its prime factorisation is 2 × 16981. Divisors (4): 1, 2, 16981, 33962.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33962: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16981, the product of two primes.
- 2
33962 is composite. Its prime factorisation is
- 3
The divisors add up to 50946; without 33962 itself that is 16984, so 33962 is deficient (16984 is less than 33962). Euler's totient φ(33962) = 16980 numbers up to 33962 share no factor with it.
- 4
The digits of 33962 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33962 = 2 \times 16981 \]
33962 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50946 |
| Euler totient φ(n) | 16980 |
| Square | 1153417444 |
| Cube | 39172363233128 |
| Square root | 184.287818 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3962 × |
33962 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and sixty-two |
| Binary (base 2) | 1000010010101010 |
| Octal (base 8) | 102252 |
| Hexadecimal (base 16) | 84AA |
| Base 3 | 1201120212 |
| As time | 33962 seconds = 9 h 26 min 2 s |
Is 33962 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33962 ÷ 2 = 16981) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33962 a prime number?
No. 33962 = 2 × 16981, so it is divisible by 2.
What are the factors of 33962?
1, 2, 16981, 33962.
What is 33962 in binary?
1000010010101010 (hexadecimal 84AA, octal 102252).
What is the square root of 33962?
About 184.2878.
Is 33962 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33962?
33962 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16981, the product of two primes.