The number 89488
89488 is a composite number with 40 divisors. Its prime factorisation is × 7 × 17 × 47. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 47, 56, 68, 94, 112, 119 … 89488.
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How to work it out
- 1
89488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89488 is composite. Its prime factorisation is
- 3
The divisors add up to 214272; without 89488 itself that is 124784, so 89488 is abundant (124784 is more than 89488). Euler's totient φ(89488) = 35328 numbers up to 89488 share no factor with it.
- 4
The digits of 89488 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89488 = 2^{4} \times 7 \times 17 \times 47 \]89488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 214272 |
| Euler totient φ(n) | 35328 |
| Square | 8008102144 |
| Cube | 716629044662272 |
| Square root | 299.145450 (= 4√5593) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9488 × |
89488 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand four hundred and eighty-eight |
| Binary (base 2) | 10101110110010000 |
| Octal (base 8) | 256620 |
| Hexadecimal (base 16) | 15D90 |
| Base 3 | 11112202101 |
| As time | 89488 seconds = 24 h 51 min 28 s |
Is 89488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89488 ÷ 2 = 44744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (89488 ÷ 4 = 22372) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (89488 ÷ 7 = 12784) | 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 | Yes (89488 ÷ 8 = 11186) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89488 a prime number?
No. 89488 = × 7 × 17 × 47, so it is divisible by 2.
What are the factors of 89488?
1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 47, 56, 68, 94, 112, 119, 136, 188, 238, 272, 329, 376, 476, 658, 752, 799, 952, 1316, 1598, 1904, 2632, 3196, 5264, 5593, 6392, 11186, 12784, 22372, 44744, 89488.
What is 89488 in binary?
10101110110010000 (hexadecimal 15D90, octal 256620).
What is the square root of 89488?
About 299.1454, exactly 4√5593.
Is 89488 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 89488?
It is a composite number with 40 divisors.