The number 73103
73103 is a composite number with 4 divisors. Its prime factorisation is 41 × 1783. Divisors (4): 1, 41, 1783, 73103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73103: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1783, the product of two primes.
- 2
73103 is composite. Its prime factorisation is
- 3
The divisors add up to 74928; without 73103 itself that is 1825, so 73103 is deficient (1825 is less than 73103). Euler's totient φ(73103) = 71280 numbers up to 73103 share no factor with it.
- 4
The digits of 73103 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73103 = 41 \times 1783 \]
73103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74928 |
| Euler totient φ(n) | 71280 |
| Square | 5344048609 |
| Cube | 390665985463727 |
| Square root | 270.375665 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3103 × |
73103 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and three |
| Binary (base 2) | 10001110110001111 |
| Octal (base 8) | 216617 |
| Hexadecimal (base 16) | 11D8F |
| Base 3 | 10201021112 |
| As time | 73103 seconds = 20 h 18 min 23 s |
Is 73103 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 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 5) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73103 a prime number?
No. 73103 = 41 × 1783, so it is divisible by 41.
What are the factors of 73103?
1, 41, 1783, 73103.
What is 73103 in binary?
10001110110001111 (hexadecimal 11D8F, octal 216617).
What is the square root of 73103?
About 270.3757.
Is 73103 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73103?
73103 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1783, the product of two primes.