The number 97960
97960 is a composite number with 32 divisors. Its prime factorisation is × 5 × 31 × 79. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 79, 124, 155, 158, 248, 310 … 97960.
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How to work it out
- 1
What is special about 97960: a Harshad number: divisible by its digit sum 31.
- 2
97960 is composite. Its prime factorisation is
- 3
The divisors add up to 230400; without 97960 itself that is 132440, so 97960 is abundant (132440 is more than 97960). Euler's totient φ(97960) = 37440 numbers up to 97960 share no factor with it.
- 4
The digits of 97960 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97960 = 2^{3} \times 5 \times 31 \times 79 \]97960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 230400 |
| Euler totient φ(n) | 37440 |
| Square | 9596161600 |
| Cube | 940039990336000 |
| Square root | 312.985623 (= 2√24490) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.796 × |
97960 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and sixty |
| Binary (base 2) | 10111111010101000 |
| Octal (base 8) | 277250 |
| Hexadecimal (base 16) | 17EA8 |
| Base 3 | 11222101011 |
| As time | 97960 seconds = 27 h 12 min 40 s |
Is 97960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97960 ÷ 2 = 48980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97960 ÷ 4 = 24490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97960 ÷ 5 = 19592) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (97960 ÷ 8 = 12245) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97960 ÷ 10 = 9796) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97960 a prime number?
No. 97960 = × 5 × 31 × 79, so it is divisible by 2.
What are the factors of 97960?
1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 79, 124, 155, 158, 248, 310, 316, 395, 620, 632, 790, 1240, 1580, 2449, 3160, 4898, 9796, 12245, 19592, 24490, 48980, 97960.
What is 97960 in binary?
10111111010101000 (hexadecimal 17EA8, octal 277250).
What is the square root of 97960?
About 312.9856, exactly 2√24490.
Is 97960 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97960?
97960 is a Harshad number: divisible by its digit sum 31.