The number 33453
33453 is a composite number with 20 divisors. Its prime factorisation is × 7 × 59. Divisors (20): 1, 3, 7, 9, 21, 27, 59, 63, 81, 177, 189, 413, 531, 567, 1239, 1593 … 33453.
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How to work it out
- 1
What is special about 33453: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33453 is composite. Its prime factorisation is
- 3
The divisors add up to 58080; without 33453 itself that is 24627, so 33453 is deficient (24627 is less than 33453). Euler's totient φ(33453) = 18792 numbers up to 33453 share no factor with it.
- 4
The digits of 33453 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33453 = 3^{4} \times 7 \times 59 \]33453 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 58080 |
| Euler totient φ(n) | 18792 |
| Square | 1119103209 |
| Cube | 37437359650677 |
| Square root | 182.901613 (= 9√413) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3453 × |
33453 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and fifty-three |
| Binary (base 2) | 1000001010101101 |
| Octal (base 8) | 101255 |
| Hexadecimal (base 16) | 82AD |
| Base 3 | 1200220000 |
| As time | 33453 seconds = 9 h 17 min 33 s |
Is 33453 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33453 ÷ 3 = 11151) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33453 ÷ 7 = 4779) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33453 ÷ 9 = 3717) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33453 a prime number?
No. 33453 = × 7 × 59, so it is divisible by 3.
What are the factors of 33453?
1, 3, 7, 9, 21, 27, 59, 63, 81, 177, 189, 413, 531, 567, 1239, 1593, 3717, 4779, 11151, 33453.
What is 33453 in binary?
1000001010101101 (hexadecimal 82AD, octal 101255).
What is the square root of 33453?
About 182.9016, exactly 9√413.
Is 33453 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33453?
33453 is a happy number: repeatedly adding the squares of its digits reaches 1.