The number 88021
88021 is a binary palindrome (10101011111010101). Its prime factorisation is 23 × 43 × 89. Divisors (8): 1, 23, 43, 89, 989, 2047, 3827, 88021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88021: a binary palindrome (10101011111010101); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88021 is composite. Its prime factorisation is
- 3
The divisors add up to 95040; without 88021 itself that is 7019, so 88021 is deficient (7019 is less than 88021). Euler's totient φ(88021) = 81312 numbers up to 88021 share no factor with it.
- 4
The digits of 88021 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88021 = 23 \times 43 \times 89 \]
88021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 95040 |
| Euler totient φ(n) | 81312 |
| Square | 7747696441 |
| Cube | 681959988433261 |
| Square root | 296.683333 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.8021 × |
88021 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twenty-one |
| Binary (base 2) | 10101011111010101 |
| Octal (base 8) | 253725 |
| Hexadecimal (base 16) | 157D5 |
| Base 3 | 11110202001 |
| As time | 88021 seconds = 24 h 27 min 1 s |
Is 88021 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88021 a prime number?
No. 88021 = 23 × 43 × 89, so it is divisible by 23.
What are the factors of 88021?
1, 23, 43, 89, 989, 2047, 3827, 88021.
What is 88021 in binary?
10101011111010101 (hexadecimal 157D5, octal 253725).
What is the square root of 88021?
About 296.6833.
Is 88021 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 88021?
88021 is a binary palindrome (10101011111010101); a happy number: repeatedly adding the squares of its digits reaches 1.