The number 87012
87012 is a composite number with 18 divisors. Its prime factorisation is × × 2417. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2417, 4834, 7251, 9668, 14502, 21753, 29004 … 87012.
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How to work it out
- 1
What is special about 87012: a Harshad number: divisible by its digit sum 18.
- 2
87012 is composite. Its prime factorisation is
- 3
The divisors add up to 220038; without 87012 itself that is 133026, so 87012 is abundant (133026 is more than 87012). Euler's totient φ(87012) = 28992 numbers up to 87012 share no factor with it.
- 4
The digits of 87012 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87012 = 2^{2} \times 3^{2} \times 2417 \]87012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 220038 |
| Euler totient φ(n) | 28992 |
| Square | 7571088144 |
| Cube | 658775521585728 |
| Square root | 294.977965 (= 6√2417) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7012 × |
87012 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and twelve |
| Binary (base 2) | 10101001111100100 |
| Octal (base 8) | 251744 |
| Hexadecimal (base 16) | 153E4 |
| Base 3 | 11102100200 |
| As time | 87012 seconds = 24 h 10 min 12 s |
Is 87012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87012 ÷ 2 = 43506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87012 ÷ 3 = 29004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87012 ÷ 4 = 21753) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87012 ÷ 6 = 14502) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87012 ÷ 9 = 9668) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87012 ÷ 12 = 7251) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87012 a prime number?
No. 87012 = × × 2417, so it is divisible by 2.
What are the factors of 87012?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2417, 4834, 7251, 9668, 14502, 21753, 29004, 43506, 87012.
What is 87012 in binary?
10101001111100100 (hexadecimal 153E4, octal 251744).
What is the square root of 87012?
About 294.9780, exactly 6√2417.
Is 87012 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 87012?
87012 is a Harshad number: divisible by its digit sum 18.