The number 9474
9474 is an Armstrong number: each digit raised to the power 4 adds up to 9474. Its prime factorisation is 2 × 3 × 1579. Divisors (8): 1, 2, 3, 6, 1579, 3158, 4737, 9474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9474: an Armstrong number: each digit raised to the power 4 adds up to 9474.
- 2
9474 is composite. Its prime factorisation is
- 3
The divisors add up to 18960; without 9474 itself that is 9486, so 9474 is abundant (9486 is more than 9474). Euler's totient φ(9474) = 3156 numbers up to 9474 share no factor with it.
- 4
The digits of 9474 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9474 = 2 \times 3 \times 1579 \]
9474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18960 |
| Euler totient φ(n) | 3156 |
| Square | 89756676 |
| Cube | 850354748424 |
| Square root | 97.334475 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.474 × |
9474 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and seventy-four |
| Binary (base 2) | 10010100000010 |
| Octal (base 8) | 22402 |
| Hexadecimal (base 16) | 2502 |
| Base 3 | 110222220 |
| As time | 9474 seconds = 2 h 37 min 54 s |
Is 9474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9474 ÷ 2 = 4737) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9474 ÷ 3 = 3158) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9474 ÷ 6 = 1579) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9474 a prime number?
No. 9474 = 2 × 3 × 1579, so it is divisible by 2.
What are the factors of 9474?
1, 2, 3, 6, 1579, 3158, 4737, 9474.
What is 9474 in binary?
10010100000010 (hexadecimal 2502, octal 22402).
What is the square root of 9474?
About 97.3345.
Is 9474 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9474?
9474 is an Armstrong number: each digit raised to the power 4 adds up to 9474.