The number 97400
97400 is a composite number with 24 divisors. Its prime factorisation is × × 487. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 487, 974, 1948, 2435 … 97400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97400: a Harshad number: divisible by its digit sum 20.
- 2
97400 is composite. Its prime factorisation is
- 3
The divisors add up to 226920; without 97400 itself that is 129520, so 97400 is abundant (129520 is more than 97400). Euler's totient φ(97400) = 38880 numbers up to 97400 share no factor with it.
- 4
The digits of 97400 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97400 = 2^{3} \times 5^{2} \times 487 \]97400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 226920 |
| Euler totient φ(n) | 38880 |
| Square | 9486760000 |
| Cube | 924010424000000 |
| Square root | 312.089731 (= 10√974) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.74 × |
97400 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred |
| Binary (base 2) | 10111110001111000 |
| Octal (base 8) | 276170 |
| Hexadecimal (base 16) | 17C78 |
| Base 3 | 11221121102 |
| As time | 97400 seconds = 27 h 3 min 20 s |
Is 97400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97400 ÷ 2 = 48700) | 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 (97400 ÷ 4 = 24350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97400 ÷ 5 = 19480) | 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 | Yes (97400 ÷ 8 = 12175) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97400 ÷ 10 = 9740) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 97400 a prime number?
No. 97400 = × × 487, so it is divisible by 2.
What are the factors of 97400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 487, 974, 1948, 2435, 3896, 4870, 9740, 12175, 19480, 24350, 48700, 97400.
What is 97400 in binary?
10111110001111000 (hexadecimal 17C78, octal 276170).
What is the square root of 97400?
About 312.0897, exactly 10√974.
Is 97400 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97400?
97400 is a Harshad number: divisible by its digit sum 20.