The number 9420
9420 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 157. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628 … 9420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9420: a Harshad number: divisible by its digit sum 15.
- 2
9420 is composite. Its prime factorisation is
- 3
The divisors add up to 26544; without 9420 itself that is 17124, so 9420 is abundant (17124 is more than 9420). Euler's totient φ(9420) = 2496 numbers up to 9420 share no factor with it.
- 4
The digits of 9420 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9420 = 2^{2} \times 3 \times 5 \times 157 \]9420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26544 |
| Euler totient φ(n) | 2496 |
| Square | 88736400 |
| Cube | 835896888000 |
| Square root | 97.056684 (= 2√2355) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.42 × |
9420 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and twenty |
| Binary (base 2) | 10010011001100 |
| Octal (base 8) | 22314 |
| Hexadecimal (base 16) | 24CC |
| Base 3 | 110220220 |
| As time | 9420 seconds = 2 h 37 min 0 s |
Is 9420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9420 ÷ 2 = 4710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9420 ÷ 3 = 3140) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9420 ÷ 4 = 2355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9420 ÷ 5 = 1884) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9420 ÷ 6 = 1570) | 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 | No (remainder 4) | 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 | Yes (9420 ÷ 10 = 942) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9420 ÷ 12 = 785) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9420 a prime number?
No. 9420 = × 3 × 5 × 157, so it is divisible by 2.
What are the factors of 9420?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420.
What is 9420 in binary?
10010011001100 (hexadecimal 24CC, octal 22314).
What is the square root of 9420?
About 97.0567, exactly 2√2355.
Is 9420 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9420?
9420 is a Harshad number: divisible by its digit sum 15.