The number 89472
89472 is a composite number with 32 divisors. Its prime factorisation is × 3 × 233. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 233 … 89472.
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How to work it out
- 1
89472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89472 is composite. Its prime factorisation is
- 3
The divisors add up to 238680; without 89472 itself that is 149208, so 89472 is abundant (149208 is more than 89472). Euler's totient φ(89472) = 29696 numbers up to 89472 share no factor with it.
- 4
The digits of 89472 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89472 = 2^{7} \times 3 \times 233 \]89472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 238680 |
| Euler totient φ(n) | 29696 |
| Square | 8005238784 |
| Cube | 716244724482048 |
| Square root | 299.118706 (= 8√1398) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9472 × |
89472 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand four hundred and seventy-two |
| Binary (base 2) | 10101110110000000 |
| Octal (base 8) | 256600 |
| Hexadecimal (base 16) | 15D80 |
| Base 3 | 11112201210 |
| As time | 89472 seconds = 24 h 51 min 12 s |
Is 89472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89472 ÷ 2 = 44736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89472 ÷ 3 = 29824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (89472 ÷ 4 = 22368) | 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 (89472 ÷ 6 = 14912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (89472 ÷ 8 = 11184) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (89472 ÷ 12 = 7456) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89472 a prime number?
No. 89472 = × 3 × 233, so it is divisible by 2.
What are the factors of 89472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 233, 384, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368, 29824, 44736, 89472.
What is 89472 in binary?
10101110110000000 (hexadecimal 15D80, octal 256600).
What is the square root of 89472?
About 299.1187, exactly 8√1398.
Is 89472 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 89472?
It is a composite number with 32 divisors.