The number 87738
87738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 2089. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 2089, 4178, 6267, 12534, 14623, 29246, 43869, 87738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87738 is composite. Its prime factorisation is
- 3
The divisors add up to 200640; without 87738 itself that is 112902, so 87738 is abundant (112902 is more than 87738). Euler's totient φ(87738) = 25056 numbers up to 87738 share no factor with it.
- 4
The digits of 87738 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87738 = 2 \times 3 \times 7 \times 2089 \]
87738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 200640 |
| Euler totient φ(n) | 25056 |
| Square | 7697956644 |
| Cube | 675403320031272 |
| Square root | 296.206009 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7738 × |
87738 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and thirty-eight |
| Binary (base 2) | 10101011010111010 |
| Octal (base 8) | 253272 |
| Hexadecimal (base 16) | 156BA |
| Base 3 | 11110100120 |
| As time | 87738 seconds = 24 h 22 min 18 s |
Is 87738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87738 ÷ 2 = 43869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87738 ÷ 3 = 29246) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87738 ÷ 6 = 14623) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87738 ÷ 7 = 12534) | 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 2) | 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 8) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87738 a prime number?
No. 87738 = 2 × 3 × 7 × 2089, so it is divisible by 2.
What are the factors of 87738?
1, 2, 3, 6, 7, 14, 21, 42, 2089, 4178, 6267, 12534, 14623, 29246, 43869, 87738.
What is 87738 in binary?
10101011010111010 (hexadecimal 156BA, octal 253272).
What is the square root of 87738?
About 296.2060.
Is 87738 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 87738?
It is a composite number with 16 divisors.