The number 87150
87150 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 7 × 83. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70 … 87150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87150: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
87150 is composite. Its prime factorisation is
- 3
The divisors add up to 249984; without 87150 itself that is 162834, so 87150 is abundant (162834 is more than 87150). Euler's totient φ(87150) = 19680 numbers up to 87150 share no factor with it.
- 4
The digits of 87150 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87150 = 2 \times 3 \times 5^{2} \times 7 \times 83 \]87150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 249984 |
| Euler totient φ(n) | 19680 |
| Square | 7595122500 |
| Cube | 661914925875000 |
| Square root | 295.211788 (= 5√3486) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.715 × |
87150 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and fifty |
| Binary (base 2) | 10101010001101110 |
| Octal (base 8) | 252156 |
| Hexadecimal (base 16) | 1546E |
| Base 3 | 11102112210 |
| As time | 87150 seconds = 24 h 12 min 30 s |
Is 87150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87150 ÷ 2 = 43575) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87150 ÷ 3 = 29050) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87150 ÷ 5 = 17430) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87150 ÷ 6 = 14525) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87150 ÷ 7 = 12450) | 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 6) | 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 | Yes (87150 ÷ 10 = 8715) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87150 a prime number?
No. 87150 = 2 × 3 × × 7 × 83, so it is divisible by 2.
What are the factors of 87150?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 83, 105, 150, 166, 175, 210, 249, 350, 415, 498, 525, 581, 830, 1050, 1162, 1245, 1743, 2075, 2490, 2905, 3486, 4150, 5810, 6225, 8715, 12450, 14525, 17430, 29050, 43575, 87150.
What is 87150 in binary?
10101010001101110 (hexadecimal 1546E, octal 252156).
What is the square root of 87150?
About 295.2118, exactly 5√3486.
Is 87150 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 87150?
87150 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.