The number 94400
94400 is a composite number with 42 divisors. Its prime factorisation is × × 59. Divisors (42): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 64, 80, 100 … 94400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
94400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
94400 is composite. Its prime factorisation is
- 3
The divisors add up to 236220; without 94400 itself that is 141820, so 94400 is abundant (141820 is more than 94400). Euler's totient φ(94400) = 37120 numbers up to 94400 share no factor with it.
- 4
The digits of 94400 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 94400 = 2^{6} \times 5^{2} \times 59 \]94400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 236220 |
| Euler totient φ(n) | 37120 |
| Square | 8911360000 |
| Cube | 841232384000000 |
| Square root | 307.245830 (= 40√59) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.44 × |
94400 in other forms
| Form | Value |
|---|---|
| In words | ninety-four thousand four hundred |
| Binary (base 2) | 10111000011000000 |
| Octal (base 8) | 270300 |
| Hexadecimal (base 16) | 170C0 |
| Base 3 | 11210111022 |
| As time | 94400 seconds = 26 h 13 min 20 s |
Is 94400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (94400 ÷ 2 = 47200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (94400 ÷ 4 = 23600) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (94400 ÷ 5 = 18880) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (94400 ÷ 8 = 11800) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (94400 ÷ 10 = 9440) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 94400 a prime number?
No. 94400 = × × 59, so it is divisible by 2.
What are the factors of 94400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 64, 80, 100, 118, 160, 200, 236, 295, 320, 400, 472, 590, 800, 944, 1180, 1475, 1600, 1888, 2360, 2950, 3776, 4720, 5900, 9440, 11800, 18880, 23600, 47200, 94400.
What is 94400 in binary?
10111000011000000 (hexadecimal 170C0, octal 270300).
What is the square root of 94400?
About 307.2458, exactly 40√59.
Is 94400 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 94400?
It is a composite number with 42 divisors.