The number 87542
87542 is a composite number with 24 divisors. Its prime factorisation is 2 × 7 × × 37. Divisors (24): 1, 2, 7, 13, 14, 26, 37, 74, 91, 169, 182, 259, 338, 481, 518, 962 … 87542.
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How to work it out
- 1
What is special about 87542: a Harshad number: divisible by its digit sum 26.
- 2
87542 is composite. Its prime factorisation is
- 3
The divisors add up to 166896; without 87542 itself that is 79354, so 87542 is deficient (79354 is less than 87542). Euler's totient φ(87542) = 33696 numbers up to 87542 share no factor with it.
- 4
The digits of 87542 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87542 = 2 \times 7 \times 13^{2} \times 37 \]87542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 166896 |
| Euler totient φ(n) | 33696 |
| Square | 7663601764 |
| Cube | 670887025624088 |
| Square root | 295.874974 (= 13√518) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 8.7542 × |
87542 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and forty-two |
| Binary (base 2) | 10101010111110110 |
| Octal (base 8) | 252766 |
| Hexadecimal (base 16) | 155F6 |
| Base 3 | 11110002022 |
| As time | 87542 seconds = 24 h 19 min 2 s |
Is 87542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87542 ÷ 2 = 43771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87542 ÷ 7 = 12506) | 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 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87542 a prime number?
No. 87542 = 2 × 7 × × 37, so it is divisible by 2.
What are the factors of 87542?
1, 2, 7, 13, 14, 26, 37, 74, 91, 169, 182, 259, 338, 481, 518, 962, 1183, 2366, 3367, 6253, 6734, 12506, 43771, 87542.
What is 87542 in binary?
10101010111110110 (hexadecimal 155F6, octal 252766).
What is the square root of 87542?
About 295.8750, exactly 13√518.
Is 87542 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 87542?
87542 is a Harshad number: divisible by its digit sum 26.