The number 33103
33103 is a composite number with 4 divisors. Its prime factorisation is 7 × 4729. Divisors (4): 1, 7, 4729, 33103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33103: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 4729, the product of two primes.
- 2
33103 is composite. Its prime factorisation is
- 3
The divisors add up to 37840; without 33103 itself that is 4737, so 33103 is deficient (4737 is less than 33103). Euler's totient φ(33103) = 28368 numbers up to 33103 share no factor with it.
- 4
The digits of 33103 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33103 = 7 \times 4729 \]
33103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37840 |
| Euler totient φ(n) | 28368 |
| Square | 1095808609 |
| Cube | 36274552383727 |
| Square root | 181.942299 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 121 |
| Scientific notation | 3.3103 × |
33103 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and three |
| Binary (base 2) | 1000000101001111 |
| Octal (base 8) | 100517 |
| Hexadecimal (base 16) | 814F |
| Base 3 | 1200102001 |
| As time | 33103 seconds = 9 h 11 min 43 s |
Is 33103 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33103 ÷ 7 = 4729) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33103 a prime number?
No. 33103 = 7 × 4729, so it is divisible by 7.
What are the factors of 33103?
1, 7, 4729, 33103.
What is 33103 in binary?
1000000101001111 (hexadecimal 814F, octal 100517).
What is the square root of 33103?
About 181.9423.
Is 33103 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33103?
33103 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 4729, the product of two primes.