The number 9460
9460 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 43. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220 … 9460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9460: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9460 is composite. Its prime factorisation is
- 3
The divisors add up to 22176; without 9460 itself that is 12716, so 9460 is abundant (12716 is more than 9460). Euler's totient φ(9460) = 3360 numbers up to 9460 share no factor with it.
- 4
The digits of 9460 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9460 = 2^{2} \times 5 \times 11 \times 43 \]9460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22176 |
| Euler totient φ(n) | 3360 |
| Square | 89491600 |
| Cube | 846590536000 |
| Square root | 97.262531 (= 2√2365) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.46 × |
9460 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and sixty |
| Binary (base 2) | 10010011110100 |
| Octal (base 8) | 22364 |
| Hexadecimal (base 16) | 24F4 |
| Base 3 | 110222101 |
| As time | 9460 seconds = 2 h 37 min 40 s |
Is 9460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9460 ÷ 2 = 4730) | 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 (9460 ÷ 4 = 2365) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9460 ÷ 5 = 1892) | 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 | No (remainder 4) | 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 (9460 ÷ 10 = 946) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9460 ÷ 11 = 860) | 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 9460 a prime number?
No. 9460 = × 5 × 11 × 43, so it is divisible by 2.
What are the factors of 9460?
1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460.
What is 9460 in binary?
10010011110100 (hexadecimal 24F4, octal 22364).
What is the square root of 9460?
About 97.2625, exactly 2√2365.
Is 9460 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9460?
9460 is a happy number: repeatedly adding the squares of its digits reaches 1.