The number 88420
88420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4421. Divisors (12): 1, 2, 4, 5, 10, 20, 4421, 8842, 17684, 22105, 44210, 88420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88420 is composite. Its prime factorisation is
- 3
The divisors add up to 185724; without 88420 itself that is 97304, so 88420 is abundant (97304 is more than 88420). Euler's totient φ(88420) = 35360 numbers up to 88420 share no factor with it.
- 4
The digits of 88420 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88420 = 2^{2} \times 5 \times 4421 \]88420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 185724 |
| Euler totient φ(n) | 35360 |
| Square | 7818096400 |
| Cube | 691276083688000 |
| Square root | 297.355007 (= 2√22105) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.842 × |
88420 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and twenty |
| Binary (base 2) | 10101100101100100 |
| Octal (base 8) | 254544 |
| Hexadecimal (base 16) | 15964 |
| Base 3 | 11111021211 |
| As time | 88420 seconds = 24 h 33 min 40 s |
Is 88420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88420 ÷ 2 = 44210) | 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 | Yes (88420 ÷ 4 = 22105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88420 ÷ 5 = 17684) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88420 ÷ 10 = 8842) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88420 a prime number?
No. 88420 = × 5 × 4421, so it is divisible by 2.
What are the factors of 88420?
1, 2, 4, 5, 10, 20, 4421, 8842, 17684, 22105, 44210, 88420.
What is 88420 in binary?
10101100101100100 (hexadecimal 15964, octal 254544).
What is the square root of 88420?
About 297.3550, exactly 2√22105.
Is 88420 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 88420?
It is a composite number with 12 divisors.