The number 96948
96948 is a composite number with 18 divisors. Its prime factorisation is × × 2693. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2693, 5386, 8079, 10772, 16158, 24237, 32316 … 96948.
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How to work it out
- 1
What is special about 96948: a Harshad number: divisible by its digit sum 36.
- 2
96948 is composite. Its prime factorisation is
- 3
The divisors add up to 245154; without 96948 itself that is 148206, so 96948 is abundant (148206 is more than 96948). Euler's totient φ(96948) = 32304 numbers up to 96948 share no factor with it.
- 4
The digits of 96948 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96948 = 2^{2} \times 3^{2} \times 2693 \]96948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 245154 |
| Euler totient φ(n) | 32304 |
| Square | 9398914704 |
| Cube | 911205982723392 |
| Square root | 311.364738 (= 6√2693) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6948 × |
96948 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and forty-eight |
| Binary (base 2) | 10111101010110100 |
| Octal (base 8) | 275264 |
| Hexadecimal (base 16) | 17AB4 |
| Base 3 | 11220222200 |
| As time | 96948 seconds = 26 h 55 min 48 s |
Is 96948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96948 ÷ 2 = 48474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96948 ÷ 3 = 32316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96948 ÷ 4 = 24237) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96948 ÷ 6 = 16158) | 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 | Yes (96948 ÷ 9 = 10772) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (96948 ÷ 12 = 8079) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96948 a prime number?
No. 96948 = × × 2693, so it is divisible by 2.
What are the factors of 96948?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2693, 5386, 8079, 10772, 16158, 24237, 32316, 48474, 96948.
What is 96948 in binary?
10111101010110100 (hexadecimal 17AB4, octal 275264).
What is the square root of 96948?
About 311.3647, exactly 6√2693.
Is 96948 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 96948?
96948 is a Harshad number: divisible by its digit sum 36.