The number 9400
9400 is a composite number with 24 divisors. Its prime factorisation is × × 47. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235 … 9400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9400: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9400 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 9400 itself that is 12920, so 9400 is abundant (12920 is more than 9400). Euler's totient φ(9400) = 3680 numbers up to 9400 share no factor with it.
- 4
The digits of 9400 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9400 = 2^{3} \times 5^{2} \times 47 \]9400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 3680 |
| Square | 88360000 |
| Cube | 830584000000 |
| Square root | 96.953597 (= 10√94) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.4 × |
9400 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred |
| Binary (base 2) | 10010010111000 |
| Octal (base 8) | 22270 |
| Hexadecimal (base 16) | 24B8 |
| Base 3 | 110220011 |
| As time | 9400 seconds = 2 h 36 min 40 s |
Is 9400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9400 ÷ 2 = 4700) | 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 (9400 ÷ 4 = 2350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9400 ÷ 5 = 1880) | 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 6) | 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 (9400 ÷ 8 = 1175) | 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 (9400 ÷ 10 = 940) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 9400 a prime number?
No. 9400 = × × 47, so it is divisible by 2.
What are the factors of 9400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400.
What is 9400 in binary?
10010010111000 (hexadecimal 24B8, octal 22270).
What is the square root of 9400?
About 96.9536, exactly 10√94.
Is 9400 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 9400?
9400 is a happy number: repeatedly adding the squares of its digits reaches 1.