The number 87501
87501 is a composite number with 4 divisors. Its prime factorisation is 3 × 29167. Divisors (4): 1, 3, 29167, 87501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87501: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 29167, the product of two primes.
- 2
87501 is composite. Its prime factorisation is
- 3
The divisors add up to 116672; without 87501 itself that is 29171, so 87501 is deficient (29171 is less than 87501). Euler's totient φ(87501) = 58332 numbers up to 87501 share no factor with it.
- 4
The digits of 87501 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87501 = 3 \times 29167 \]
87501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 116672 |
| Euler totient φ(n) | 58332 |
| Square | 7656425001 |
| Cube | 669944844012501 |
| Square root | 295.805679 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7501 × |
87501 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and one |
| Binary (base 2) | 10101010111001101 |
| Octal (base 8) | 252715 |
| Hexadecimal (base 16) | 155CD |
| Base 3 | 11110000210 |
| As time | 87501 seconds = 24 h 18 min 21 s |
Is 87501 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 (87501 ÷ 3 = 29167) | 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 | No (remainder 1) | 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 3) | 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 7) | 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 87501 a prime number?
No. 87501 = 3 × 29167, so it is divisible by 3.
What are the factors of 87501?
1, 3, 29167, 87501.
What is 87501 in binary?
10101010111001101 (hexadecimal 155CD, octal 252715).
What is the square root of 87501?
About 295.8057.
Is 87501 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 87501?
87501 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 29167, the product of two primes.