The number 87513
87513 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 941. Divisors (8): 1, 3, 31, 93, 941, 2823, 29171, 87513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87513 is composite. Its prime factorisation is
- 3
The divisors add up to 120576; without 87513 itself that is 33063, so 87513 is deficient (33063 is less than 87513). Euler's totient φ(87513) = 56400 numbers up to 87513 share no factor with it.
- 4
The digits of 87513 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87513 = 3 \times 31 \times 941 \]
87513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 120576 |
| Euler totient φ(n) | 56400 |
| Square | 7658525169 |
| Cube | 670220513114697 |
| Square root | 295.825962 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7513 × |
87513 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and thirteen |
| Binary (base 2) | 10101010111011001 |
| Octal (base 8) | 252731 |
| Hexadecimal (base 16) | 155D9 |
| Base 3 | 11110001020 |
| As time | 87513 seconds = 24 h 18 min 33 s |
Is 87513 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 (87513 ÷ 3 = 29171) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87513 a prime number?
No. 87513 = 3 × 31 × 941, so it is divisible by 3.
What are the factors of 87513?
1, 3, 31, 93, 941, 2823, 29171, 87513.
What is 87513 in binary?
10101010111011001 (hexadecimal 155D9, octal 252731).
What is the square root of 87513?
About 295.8260.
Is 87513 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87513?
It is a composite number with 8 divisors.