The number 96400
96400 is a composite number with 30 divisors. Its prime factorisation is × × 241. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 241, 400 … 96400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96400: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
96400 is composite. Its prime factorisation is
- 3
The divisors add up to 232562; without 96400 itself that is 136162, so 96400 is abundant (136162 is more than 96400). Euler's totient φ(96400) = 38400 numbers up to 96400 share no factor with it.
- 4
The digits of 96400 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96400 = 2^{4} \times 5^{2} \times 241 \]96400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 232562 |
| Euler totient φ(n) | 38400 |
| Square | 9292960000 |
| Cube | 895841344000000 |
| Square root | 310.483494 (= 20√241) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.64 × |
96400 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand four hundred |
| Binary (base 2) | 10111100010010000 |
| Octal (base 8) | 274220 |
| Hexadecimal (base 16) | 17890 |
| Base 3 | 11220020101 |
| As time | 96400 seconds = 26 h 46 min 40 s |
Is 96400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96400 ÷ 2 = 48200) | 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 (96400 ÷ 4 = 24100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (96400 ÷ 5 = 19280) | 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 | Yes (96400 ÷ 8 = 12050) | 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 | Yes (96400 ÷ 10 = 9640) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 96400 a prime number?
No. 96400 = × × 241, so it is divisible by 2.
What are the factors of 96400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 241, 400, 482, 964, 1205, 1928, 2410, 3856, 4820, 6025, 9640, 12050, 19280, 24100, 48200, 96400.
What is 96400 in binary?
10111100010010000 (hexadecimal 17890, octal 274220).
What is the square root of 96400?
About 310.4835, exactly 20√241.
Is 96400 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 96400?
96400 is a happy number: repeatedly adding the squares of its digits reaches 1.