The number 89742
89742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 14957. Divisors (8): 1, 2, 3, 6, 14957, 29914, 44871, 89742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89742 is composite. Its prime factorisation is
- 3
The divisors add up to 179496; without 89742 itself that is 89754, so 89742 is abundant (89754 is more than 89742). Euler's totient φ(89742) = 29912 numbers up to 89742 share no factor with it.
- 4
The digits of 89742 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 208 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89742 = 2 \times 3 \times 14957 \]
89742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 179496 |
| Euler totient φ(n) | 29912 |
| Square | 8053626564 |
| Cube | 722748555106488 |
| Square root | 299.569691 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 208 |
| Scientific notation | 8.9742 × |
89742 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand seven hundred and forty-two |
| Binary (base 2) | 10101111010001110 |
| Octal (base 8) | 257216 |
| Hexadecimal (base 16) | 15E8E |
| Base 3 | 11120002210 |
| As time | 89742 seconds = 24 h 55 min 42 s |
Is 89742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89742 ÷ 2 = 44871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89742 ÷ 3 = 29914) | 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 | Yes (89742 ÷ 6 = 14957) | 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 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 | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89742 a prime number?
No. 89742 = 2 × 3 × 14957, so it is divisible by 2.
What are the factors of 89742?
1, 2, 3, 6, 14957, 29914, 44871, 89742.
What is 89742 in binary?
10101111010001110 (hexadecimal 15E8E, octal 257216).
What is the square root of 89742?
About 299.5697.
Is 89742 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 89742?
It is a composite number with 8 divisors.