The number 97407
97407 is a composite number with 12 divisors. Its prime factorisation is × 79 × 137. Divisors (12): 1, 3, 9, 79, 137, 237, 411, 711, 1233, 10823, 32469, 97407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97407 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97407 is composite. Its prime factorisation is
- 3
The divisors add up to 143520; without 97407 itself that is 46113, so 97407 is deficient (46113 is less than 97407). Euler's totient φ(97407) = 63648 numbers up to 97407 share no factor with it.
- 4
The digits of 97407 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97407 = 3^{2} \times 79 \times 137 \]97407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 143520 |
| Euler totient φ(n) | 63648 |
| Square | 9488123649 |
| Cube | 924209660278143 |
| Square root | 312.100945 (= 3√10823) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7407 × |
97407 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and seven |
| Binary (base 2) | 10111110001111111 |
| Octal (base 8) | 276177 |
| Hexadecimal (base 16) | 17C7F |
| Base 3 | 11221121200 |
| As time | 97407 seconds = 27 h 3 min 27 s |
Is 97407 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 (97407 ÷ 3 = 32469) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97407 ÷ 9 = 10823) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97407 a prime number?
No. 97407 = × 79 × 137, so it is divisible by 3.
What are the factors of 97407?
1, 3, 9, 79, 137, 237, 411, 711, 1233, 10823, 32469, 97407.
What is 97407 in binary?
10111110001111111 (hexadecimal 17C7F, octal 276177).
What is the square root of 97407?
About 312.1009, exactly 3√10823.
Is 97407 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97407?
It is a composite number with 12 divisors.