The number 87373
87373 is a composite number with 12 divisors. Its prime factorisation is 11 × × 47. Divisors (12): 1, 11, 13, 47, 143, 169, 517, 611, 1859, 6721, 7943, 87373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87373 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87373 is composite. Its prime factorisation is
- 3
The divisors add up to 105408; without 87373 itself that is 18035, so 87373 is deficient (18035 is less than 87373). Euler's totient φ(87373) = 71760 numbers up to 87373 share no factor with it.
- 4
The digits of 87373 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87373 = 11 \times 13^{2} \times 47 \]87373 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105408 |
| Euler totient φ(n) | 71760 |
| Square | 7634041129 |
| Cube | 667009075564117 |
| Square root | 295.589242 (= 13√517) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7373 × |
87373 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and seventy-three |
| Binary (base 2) | 10101010101001101 |
| Octal (base 8) | 252515 |
| Hexadecimal (base 16) | 1554D |
| Base 3 | 11102212001 |
| As time | 87373 seconds = 24 h 16 min 13 s |
Is 87373 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 1) | 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 5) | 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 | Yes (87373 ÷ 11 = 7943) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87373 a prime number?
No. 87373 = 11 × × 47, so it is divisible by 11.
What are the factors of 87373?
1, 11, 13, 47, 143, 169, 517, 611, 1859, 6721, 7943, 87373.
What is 87373 in binary?
10101010101001101 (hexadecimal 1554D, octal 252515).
What is the square root of 87373?
About 295.5892, exactly 13√517.
Is 87373 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87373?
It is a composite number with 12 divisors.