The number 33420
33420 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 557. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 557, 1114, 1671, 2228 … 33420.
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How to work it out
- 1
What is special about 33420: a Harshad number: divisible by its digit sum 12.
- 2
33420 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 33420 itself that is 60324, so 33420 is abundant (60324 is more than 33420). Euler's totient φ(33420) = 8896 numbers up to 33420 share no factor with it.
- 4
The digits of 33420 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33420 = 2^{2} \times 3 \times 5 \times 557 \]33420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 8896 |
| Square | 1116896400 |
| Cube | 37326677688000 |
| Square root | 182.811378 (= 2√8355) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.342 × |
33420 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and twenty |
| Binary (base 2) | 1000001010001100 |
| Octal (base 8) | 101214 |
| Hexadecimal (base 16) | 828C |
| Base 3 | 1200211210 |
| As time | 33420 seconds = 9 h 17 min 0 s |
Is 33420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33420 ÷ 2 = 16710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33420 ÷ 3 = 11140) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33420 ÷ 4 = 8355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33420 ÷ 5 = 6684) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33420 ÷ 6 = 5570) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 | Yes (33420 ÷ 10 = 3342) | 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 | Yes (33420 ÷ 12 = 2785) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33420 a prime number?
No. 33420 = × 3 × 5 × 557, so it is divisible by 2.
What are the factors of 33420?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 557, 1114, 1671, 2228, 2785, 3342, 5570, 6684, 8355, 11140, 16710, 33420.
What is 33420 in binary?
1000001010001100 (hexadecimal 828C, octal 101214).
What is the square root of 33420?
About 182.8114, exactly 2√8355.
Is 33420 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33420?
33420 is a Harshad number: divisible by its digit sum 12.