The number 33802
33802 is a composite number with 4 divisors. Its prime factorisation is 2 × 16901. Divisors (4): 1, 2, 16901, 33802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33802: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16901, the product of two primes.
- 2
33802 is composite. Its prime factorisation is
- 3
The divisors add up to 50706; without 33802 itself that is 16904, so 33802 is deficient (16904 is less than 33802). Euler's totient φ(33802) = 16900 numbers up to 33802 share no factor with it.
- 4
The digits of 33802 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33802 = 2 \times 16901 \]
33802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50706 |
| Euler totient φ(n) | 16900 |
| Square | 1142575204 |
| Cube | 38621327045608 |
| Square root | 183.853202 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3802 × |
33802 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and two |
| Binary (base 2) | 1000010000001010 |
| Octal (base 8) | 102012 |
| Hexadecimal (base 16) | 840A |
| Base 3 | 1201100221 |
| As time | 33802 seconds = 9 h 23 min 22 s |
Is 33802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33802 ÷ 2 = 16901) | 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 2) | 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 6) | 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 7) | 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 10) | 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 33802 a prime number?
No. 33802 = 2 × 16901, so it is divisible by 2.
What are the factors of 33802?
1, 2, 16901, 33802.
What is 33802 in binary?
1000010000001010 (hexadecimal 840A, octal 102012).
What is the square root of 33802?
About 183.8532.
Is 33802 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33802?
33802 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16901, the product of two primes.