The number 90103
90103 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 239. Divisors (8): 1, 13, 29, 239, 377, 3107, 6931, 90103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90103: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.
- 2
90103 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 90103 itself that is 10697, so 90103 is deficient (10697 is less than 90103). Euler's totient φ(90103) = 79968 numbers up to 90103 share no factor with it.
- 4
The digits of 90103 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90103 = 13 \times 29 \times 239 \]
90103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 79968 |
| Square | 8118550609 |
| Cube | 731505765522727 |
| Square root | 300.171618 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.0103 × |
90103 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and three |
| Binary (base 2) | 10101111111110111 |
| Octal (base 8) | 257767 |
| Hexadecimal (base 16) | 15FF7 |
| Base 3 | 11120121011 |
| As time | 90103 seconds = 25 h 1 min 43 s |
Is 90103 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90103 a prime number?
No. 90103 = 13 × 29 × 239, so it is divisible by 13.
What are the factors of 90103?
1, 13, 29, 239, 377, 3107, 6931, 90103.
What is 90103 in binary?
10101111111110111 (hexadecimal 15FF7, octal 257767).
What is the square root of 90103?
About 300.1716.
Is 90103 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 90103?
90103 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.