The number 96420
96420 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1607. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1607, 3214, 4821, 6428 … 96420.
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How to work it out
- 1
96420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96420 is composite. Its prime factorisation is
- 3
The divisors add up to 270144; without 96420 itself that is 173724, so 96420 is abundant (173724 is more than 96420). Euler's totient φ(96420) = 25696 numbers up to 96420 share no factor with it.
- 4
The digits of 96420 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96420 = 2^{2} \times 3 \times 5 \times 1607 \]96420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 270144 |
| Euler totient φ(n) | 25696 |
| Square | 9296816400 |
| Cube | 896399037288000 |
| Square root | 310.515700 (= 2√24105) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.642 × |
96420 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand four hundred and twenty |
| Binary (base 2) | 10111100010100100 |
| Octal (base 8) | 274244 |
| Hexadecimal (base 16) | 178A4 |
| Base 3 | 11220021010 |
| As time | 96420 seconds = 26 h 47 min 0 s |
Is 96420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96420 ÷ 2 = 48210) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96420 ÷ 3 = 32140) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96420 ÷ 4 = 24105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (96420 ÷ 5 = 19284) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96420 ÷ 6 = 16070) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (96420 ÷ 10 = 9642) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96420 ÷ 12 = 8035) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96420 a prime number?
No. 96420 = × 3 × 5 × 1607, so it is divisible by 2.
What are the factors of 96420?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1607, 3214, 4821, 6428, 8035, 9642, 16070, 19284, 24105, 32140, 48210, 96420.
What is 96420 in binary?
10111100010100100 (hexadecimal 178A4, octal 274244).
What is the square root of 96420?
About 310.5157, exactly 2√24105.
Is 96420 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 96420?
It is a composite number with 24 divisors.