The number 97496
97496 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1741. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1741, 3482, 6964, 12187, 13928, 24374, 48748, 97496.
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How to work it out
- 1
What is special about 97496: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97496 is composite. Its prime factorisation is
- 3
The divisors add up to 209040; without 97496 itself that is 111544, so 97496 is abundant (111544 is more than 97496). Euler's totient φ(97496) = 41760 numbers up to 97496 share no factor with it.
- 4
The digits of 97496 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97496 = 2^{3} \times 7 \times 1741 \]97496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 209040 |
| Euler totient φ(n) | 41760 |
| Square | 9505470016 |
| Cube | 926745304679936 |
| Square root | 312.243495 (= 2√24374) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7496 × |
97496 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and ninety-six |
| Binary (base 2) | 10111110011011000 |
| Octal (base 8) | 276330 |
| Hexadecimal (base 16) | 17CD8 |
| Base 3 | 11221201222 |
| As time | 97496 seconds = 27 h 4 min 56 s |
Is 97496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97496 ÷ 2 = 48748) | 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 (97496 ÷ 4 = 24374) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (97496 ÷ 7 = 13928) | 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 (97496 ÷ 8 = 12187) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97496 a prime number?
No. 97496 = × 7 × 1741, so it is divisible by 2.
What are the factors of 97496?
1, 2, 4, 7, 8, 14, 28, 56, 1741, 3482, 6964, 12187, 13928, 24374, 48748, 97496.
What is 97496 in binary?
10111110011011000 (hexadecimal 17CD8, octal 276330).
What is the square root of 97496?
About 312.2435, exactly 2√24374.
Is 97496 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 97496?
97496 is a happy number: repeatedly adding the squares of its digits reaches 1.