The number 89672
89672 is a composite number with 16 divisors. Its prime factorisation is × 11 × 1019. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 1019, 2038, 4076, 8152, 11209, 22418, 44836, 89672.
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How to work it out
- 1
89672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89672 is composite. Its prime factorisation is
- 3
The divisors add up to 183600; without 89672 itself that is 93928, so 89672 is abundant (93928 is more than 89672). Euler's totient φ(89672) = 40720 numbers up to 89672 share no factor with it.
- 4
The digits of 89672 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89672 = 2^{3} \times 11 \times 1019 \]89672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 183600 |
| Euler totient φ(n) | 40720 |
| Square | 8041067584 |
| Cube | 721058612392448 |
| Square root | 299.452834 (= 2√22418) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9672 × |
89672 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand six hundred and seventy-two |
| Binary (base 2) | 10101111001001000 |
| Octal (base 8) | 257110 |
| Hexadecimal (base 16) | 15E48 |
| Base 3 | 11120000012 |
| As time | 89672 seconds = 24 h 54 min 32 s |
Is 89672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89672 ÷ 2 = 44836) | 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 | Yes (89672 ÷ 4 = 22418) | 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 | 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 | Yes (89672 ÷ 8 = 11209) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (89672 ÷ 11 = 8152) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89672 a prime number?
No. 89672 = × 11 × 1019, so it is divisible by 2.
What are the factors of 89672?
1, 2, 4, 8, 11, 22, 44, 88, 1019, 2038, 4076, 8152, 11209, 22418, 44836, 89672.
What is 89672 in binary?
10101111001001000 (hexadecimal 15E48, octal 257110).
What is the square root of 89672?
About 299.4528, exactly 2√22418.
Is 89672 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 89672?
It is a composite number with 16 divisors.