The number 33402
33402 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 293. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 293, 586, 879, 1758, 5567, 11134, 16701, 33402.
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How to work it out
- 1
33402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33402 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 33402 itself that is 37158, so 33402 is abundant (37158 is more than 33402). Euler's totient φ(33402) = 10512 numbers up to 33402 share no factor with it.
- 4
The digits of 33402 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33402 = 2 \times 3 \times 19 \times 293 \]
33402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 10512 |
| Square | 1115693604 |
| Cube | 37266397760808 |
| Square root | 182.762140 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3402 × |
33402 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and two |
| Binary (base 2) | 1000001001111010 |
| Octal (base 8) | 101172 |
| Hexadecimal (base 16) | 827A |
| Base 3 | 1200211010 |
| As time | 33402 seconds = 9 h 16 min 42 s |
Is 33402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33402 ÷ 2 = 16701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33402 ÷ 3 = 11134) | 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 | Yes (33402 ÷ 6 = 5567) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33402 a prime number?
No. 33402 = 2 × 3 × 19 × 293, so it is divisible by 2.
What are the factors of 33402?
1, 2, 3, 6, 19, 38, 57, 114, 293, 586, 879, 1758, 5567, 11134, 16701, 33402.
What is 33402 in binary?
1000001001111010 (hexadecimal 827A, octal 101172).
What is the square root of 33402?
About 182.7621.
Is 33402 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33402?
It is a composite number with 16 divisors.