The number 87413
87413 is a composite number with 4 divisors. Its prime factorisation is 61 × 1433. Divisors (4): 1, 61, 1433, 87413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87413: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 1433, the product of two primes.
- 2
87413 is composite. Its prime factorisation is
- 3
The divisors add up to 88908; without 87413 itself that is 1495, so 87413 is deficient (1495 is less than 87413). Euler's totient φ(87413) = 85920 numbers up to 87413 share no factor with it.
- 4
The digits of 87413 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87413 = 61 \times 1433 \]
87413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 88908 |
| Euler totient φ(n) | 85920 |
| Square | 7641032569 |
| Cube | 667925579953997 |
| Square root | 295.656896 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7413 × |
87413 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and thirteen |
| Binary (base 2) | 10101010101110101 |
| Octal (base 8) | 252565 |
| Hexadecimal (base 16) | 15575 |
| Base 3 | 11102220112 |
| As time | 87413 seconds = 24 h 16 min 53 s |
Is 87413 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87413 a prime number?
No. 87413 = 61 × 1433, so it is divisible by 61.
What are the factors of 87413?
1, 61, 1433, 87413.
What is 87413 in binary?
10101010101110101 (hexadecimal 15575, octal 252565).
What is the square root of 87413?
About 295.6569.
Is 87413 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 87413?
87413 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 1433, the product of two primes.