The number 97461
97461 is a triangular number: 1 + 2 + … + 441 = 97461. Its prime factorisation is × × 13 × 17. Divisors (36): 1, 3, 7, 9, 13, 17, 21, 39, 49, 51, 63, 91, 117, 119, 147, 153 … 97461.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97461: a triangular number: 1 + 2 + … + 441 = 97461.
- 2
97461 is composite. Its prime factorisation is
- 3
The divisors add up to 186732; without 97461 itself that is 89271, so 97461 is deficient (89271 is less than 97461). Euler's totient φ(97461) = 48384 numbers up to 97461 share no factor with it.
- 4
The digits of 97461 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97461 = 3^{2} \times 7^{2} \times 13 \times 17 \]97461 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 186732 |
| Euler totient φ(n) | 48384 |
| Square | 9498646521 |
| Cube | 925747588583181 |
| Square root | 312.187444 (= 21√221) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7461 × |
97461 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and sixty-one |
| Binary (base 2) | 10111110010110101 |
| Octal (base 8) | 276265 |
| Hexadecimal (base 16) | 17CB5 |
| Base 3 | 11221200200 |
| As time | 97461 seconds = 27 h 4 min 21 s |
Is 97461 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97461 ÷ 3 = 32487) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97461 ÷ 7 = 13923) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97461 ÷ 9 = 10829) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97461 a prime number?
No. 97461 = × × 13 × 17, so it is divisible by 3.
What are the factors of 97461?
1, 3, 7, 9, 13, 17, 21, 39, 49, 51, 63, 91, 117, 119, 147, 153, 221, 273, 357, 441, 637, 663, 819, 833, 1071, 1547, 1911, 1989, 2499, 4641, 5733, 7497, 10829, 13923, 32487, 97461.
What is 97461 in binary?
10111110010110101 (hexadecimal 17CB5, octal 276265).
What is the square root of 97461?
About 312.1874, exactly 21√221.
Is 97461 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97461?
97461 is a triangular number: 1 + 2 + … + 441 = 97461.