The number 87003
87003 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1381. Divisors (12): 1, 3, 7, 9, 21, 63, 1381, 4143, 9667, 12429, 29001, 87003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87003 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87003 is composite. Its prime factorisation is
- 3
The divisors add up to 143728; without 87003 itself that is 56725, so 87003 is deficient (56725 is less than 87003). Euler's totient φ(87003) = 49680 numbers up to 87003 share no factor with it.
- 4
The digits of 87003 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87003 = 3^{2} \times 7 \times 1381 \]87003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 143728 |
| Euler totient φ(n) | 49680 |
| Square | 7569522009 |
| Cube | 658571123349027 |
| Square root | 294.962710 (= 3√9667) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7003 × |
87003 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and three |
| Binary (base 2) | 10101001111011011 |
| Octal (base 8) | 251733 |
| Hexadecimal (base 16) | 153DB |
| Base 3 | 11102100100 |
| As time | 87003 seconds = 24 h 10 min 3 s |
Is 87003 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 (87003 ÷ 3 = 29001) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87003 ÷ 7 = 12429) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87003 ÷ 9 = 9667) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87003 a prime number?
No. 87003 = × 7 × 1381, so it is divisible by 3.
What are the factors of 87003?
1, 3, 7, 9, 21, 63, 1381, 4143, 9667, 12429, 29001, 87003.
What is 87003 in binary?
10101001111011011 (hexadecimal 153DB, octal 251733).
What is the square root of 87003?
About 294.9627, exactly 3√9667.
Is 87003 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 87003?
It is a composite number with 12 divisors.