The number 89739
89739 is a composite number with 18 divisors. Its prime factorisation is × × 59. Divisors (18): 1, 3, 9, 13, 39, 59, 117, 169, 177, 507, 531, 767, 1521, 2301, 6903, 9971 … 89739.
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How to work it out
- 1
89739 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89739 is composite. Its prime factorisation is
- 3
The divisors add up to 142740; without 89739 itself that is 53001, so 89739 is deficient (53001 is less than 89739). Euler's totient φ(89739) = 54288 numbers up to 89739 share no factor with it.
- 4
The digits of 89739 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89739 = 3^{2} \times 13^{2} \times 59 \]89739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 142740 |
| Euler totient φ(n) | 54288 |
| Square | 8053088121 |
| Cube | 722676074890419 |
| Square root | 299.564684 (= 39√59) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9739 × |
89739 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand seven hundred and thirty-nine |
| Binary (base 2) | 10101111010001011 |
| Octal (base 8) | 257213 |
| Hexadecimal (base 16) | 15E8B |
| Base 3 | 11120002200 |
| As time | 89739 seconds = 24 h 55 min 39 s |
Is 89739 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89739 ÷ 3 = 29913) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (89739 ÷ 9 = 9971) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89739 a prime number?
No. 89739 = × × 59, so it is divisible by 3.
What are the factors of 89739?
1, 3, 9, 13, 39, 59, 117, 169, 177, 507, 531, 767, 1521, 2301, 6903, 9971, 29913, 89739.
What is 89739 in binary?
10101111010001011 (hexadecimal 15E8B, octal 257213).
What is the square root of 89739?
About 299.5647, exactly 39√59.
Is 89739 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 89739?
It is a composite number with 18 divisors.