The number 96980
96980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 373. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 373, 746, 1492, 1865 … 96980.
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How to work it out
- 1
What is special about 96980: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
96980 is composite. Its prime factorisation is
- 3
The divisors add up to 219912; without 96980 itself that is 122932, so 96980 is abundant (122932 is more than 96980). Euler's totient φ(96980) = 35712 numbers up to 96980 share no factor with it.
- 4
The digits of 96980 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96980 = 2^{2} \times 5 \times 13 \times 373 \]96980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 219912 |
| Euler totient φ(n) | 35712 |
| Square | 9405120400 |
| Cube | 912108576392000 |
| Square root | 311.416120 (= 2√24245) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.698 × |
96980 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and eighty |
| Binary (base 2) | 10111101011010100 |
| Octal (base 8) | 275324 |
| Hexadecimal (base 16) | 17AD4 |
| Base 3 | 11221000212 |
| As time | 96980 seconds = 26 h 56 min 20 s |
Is 96980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96980 ÷ 2 = 48490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96980 ÷ 4 = 24245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (96980 ÷ 5 = 19396) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (96980 ÷ 10 = 9698) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96980 a prime number?
No. 96980 = × 5 × 13 × 373, so it is divisible by 2.
What are the factors of 96980?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 373, 746, 1492, 1865, 3730, 4849, 7460, 9698, 19396, 24245, 48490, 96980.
What is 96980 in binary?
10111101011010100 (hexadecimal 17AD4, octal 275324).
What is the square root of 96980?
About 311.4161, exactly 2√24245.
Is 96980 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 96980?
96980 is a happy number: repeatedly adding the squares of its digits reaches 1.