The number 87801
87801 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 37 × 113. Divisors (16): 1, 3, 7, 21, 37, 111, 113, 259, 339, 777, 791, 2373, 4181, 12543, 29267, 87801.
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How to work it out
- 1
87801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87801 is composite. Its prime factorisation is
- 3
The divisors add up to 138624; without 87801 itself that is 50823, so 87801 is deficient (50823 is less than 87801). Euler's totient φ(87801) = 48384 numbers up to 87801 share no factor with it.
- 4
The digits of 87801 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87801 = 3 \times 7 \times 37 \times 113 \]
87801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138624 |
| Euler totient φ(n) | 48384 |
| Square | 7709015601 |
| Cube | 676859278783401 |
| Square root | 296.312335 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7801 × |
87801 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and one |
| Binary (base 2) | 10101011011111001 |
| Octal (base 8) | 253371 |
| Hexadecimal (base 16) | 156F9 |
| Base 3 | 11110102220 |
| As time | 87801 seconds = 24 h 23 min 21 s |
Is 87801 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 (87801 ÷ 3 = 29267) | 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 1) | 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 (87801 ÷ 7 = 12543) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 87801 a prime number?
No. 87801 = 3 × 7 × 37 × 113, so it is divisible by 3.
What are the factors of 87801?
1, 3, 7, 21, 37, 111, 113, 259, 339, 777, 791, 2373, 4181, 12543, 29267, 87801.
What is 87801 in binary?
10101011011111001 (hexadecimal 156F9, octal 253371).
What is the square root of 87801?
About 296.3123.
Is 87801 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87801?
It is a composite number with 16 divisors.