The number 88401
88401 is a composite number with 8 divisors. Its prime factorisation is 3 × 79 × 373. Divisors (8): 1, 3, 79, 237, 373, 1119, 29467, 88401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88401 is composite. Its prime factorisation is
- 3
The divisors add up to 119680; without 88401 itself that is 31279, so 88401 is deficient (31279 is less than 88401). Euler's totient φ(88401) = 58032 numbers up to 88401 share no factor with it.
- 4
The digits of 88401 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88401 = 3 \times 79 \times 373 \]
88401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 119680 |
| Euler totient φ(n) | 58032 |
| Square | 7814736801 |
| Cube | 690830547945201 |
| Square root | 297.323057 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8401 × |
88401 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and one |
| Binary (base 2) | 10101100101010001 |
| Octal (base 8) | 254521 |
| Hexadecimal (base 16) | 15951 |
| Base 3 | 11111021010 |
| As time | 88401 seconds = 24 h 33 min 21 s |
Is 88401 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 (88401 ÷ 3 = 29467) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 88401 a prime number?
No. 88401 = 3 × 79 × 373, so it is divisible by 3.
What are the factors of 88401?
1, 3, 79, 237, 373, 1119, 29467, 88401.
What is 88401 in binary?
10101100101010001 (hexadecimal 15951, octal 254521).
What is the square root of 88401?
About 297.3231.
Is 88401 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88401?
It is a composite number with 8 divisors.