The number 96990
96990 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 53 × 61. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 30, 53, 61, 106, 122, 159, 183, 265, 305 … 96990.
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How to work it out
- 1
96990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96990 is composite. Its prime factorisation is
- 3
The divisors add up to 241056; without 96990 itself that is 144066, so 96990 is abundant (144066 is more than 96990). Euler's totient φ(96990) = 24960 numbers up to 96990 share no factor with it.
- 4
The digits of 96990 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96990 = 2 \times 3 \times 5 \times 53 \times 61 \]
96990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 241056 |
| Euler totient φ(n) | 24960 |
| Square | 9407060100 |
| Cube | 912390759099000 |
| Square root | 311.432176 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.699 × |
96990 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and ninety |
| Binary (base 2) | 10111101011011110 |
| Octal (base 8) | 275336 |
| Hexadecimal (base 16) | 17ADE |
| Base 3 | 11221001020 |
| As time | 96990 seconds = 26 h 56 min 30 s |
Is 96990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96990 ÷ 2 = 48495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96990 ÷ 3 = 32330) | 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 | Yes (96990 ÷ 5 = 19398) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96990 ÷ 6 = 16165) | 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 6) | 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 (96990 ÷ 10 = 9699) | 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 96990 a prime number?
No. 96990 = 2 × 3 × 5 × 53 × 61, so it is divisible by 2.
What are the factors of 96990?
1, 2, 3, 5, 6, 10, 15, 30, 53, 61, 106, 122, 159, 183, 265, 305, 318, 366, 530, 610, 795, 915, 1590, 1830, 3233, 6466, 9699, 16165, 19398, 32330, 48495, 96990.
What is 96990 in binary?
10111101011011110 (hexadecimal 17ADE, octal 275336).
What is the square root of 96990?
About 311.4322.
Is 96990 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 96990?
It is a composite number with 32 divisors.