The number 33557
33557 is a composite number with 4 divisors. Its prime factorisation is 23 × 1459. Divisors (4): 1, 23, 1459, 33557.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33557: a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 1459, the product of two primes.
- 2
33557 is composite. Its prime factorisation is
- 3
The divisors add up to 35040; without 33557 itself that is 1483, so 33557 is deficient (1483 is less than 33557). Euler's totient φ(33557) = 32076 numbers up to 33557 share no factor with it.
- 4
The digits of 33557 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33557 = 23 \times 1459 \]
33557 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35040 |
| Euler totient φ(n) | 32076 |
| Square | 1126072249 |
| Cube | 37787606459693 |
| Square root | 183.185698 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3557 × |
33557 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and fifty-seven |
| Binary (base 2) | 1000001100010101 |
| Octal (base 8) | 101425 |
| Hexadecimal (base 16) | 8315 |
| Base 3 | 1201000212 |
| As time | 33557 seconds = 9 h 19 min 17 s |
Is 33557 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 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33557 a prime number?
No. 33557 = 23 × 1459, so it is divisible by 23.
What are the factors of 33557?
1, 23, 1459, 33557.
What is 33557 in binary?
1000001100010101 (hexadecimal 8315, octal 101425).
What is the square root of 33557?
About 183.1857.
Is 33557 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33557?
33557 is a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 1459, the product of two primes.