The number 89013
89013 is a binary palindrome (10101101110110101). Its prime factorisation is 3 × 29671. Divisors (4): 1, 3, 29671, 89013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 89013: a binary palindrome (10101101110110101); a semiprime: 3 × 29671, the product of two primes.
- 2
89013 is composite. Its prime factorisation is
- 3
The divisors add up to 118688; without 89013 itself that is 29675, so 89013 is deficient (29675 is less than 89013). Euler's totient φ(89013) = 59340 numbers up to 89013 share no factor with it.
- 4
The digits of 89013 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89013 = 3 \times 29671 \]
89013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 118688 |
| Euler totient φ(n) | 59340 |
| Square | 7923314169 |
| Cube | 705277964125197 |
| Square root | 298.350465 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9013 × |
89013 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and thirteen |
| Binary (base 2) | 10101101110110101 |
| Octal (base 8) | 255665 |
| Hexadecimal (base 16) | 15BB5 |
| Base 3 | 11112002210 |
| As time | 89013 seconds = 24 h 43 min 33 s |
Is 89013 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 (89013 ÷ 3 = 29671) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89013 a prime number?
No. 89013 = 3 × 29671, so it is divisible by 3.
What are the factors of 89013?
1, 3, 29671, 89013.
What is 89013 in binary?
10101101110110101 (hexadecimal 15BB5, octal 255665).
What is the square root of 89013?
About 298.3505.
Is 89013 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 89013?
89013 is a binary palindrome (10101101110110101); a semiprime: 3 × 29671, the product of two primes.