The number 97948
97948 is a composite number with 12 divisors. Its prime factorisation is × 47 × 521. Divisors (12): 1, 2, 4, 47, 94, 188, 521, 1042, 2084, 24487, 48974, 97948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97948: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97948 is composite. Its prime factorisation is
- 3
The divisors add up to 175392; without 97948 itself that is 77444, so 97948 is deficient (77444 is less than 97948). Euler's totient φ(97948) = 47840 numbers up to 97948 share no factor with it.
- 4
The digits of 97948 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97948 = 2^{2} \times 47 \times 521 \]97948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 175392 |
| Euler totient φ(n) | 47840 |
| Square | 9593810704 |
| Cube | 939694570835392 |
| Square root | 312.966452 (= 2√24487) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7948 × |
97948 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and forty-eight |
| Binary (base 2) | 10111111010011100 |
| Octal (base 8) | 277234 |
| Hexadecimal (base 16) | 17E9C |
| Base 3 | 11222100201 |
| As time | 97948 seconds = 27 h 12 min 28 s |
Is 97948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97948 ÷ 2 = 48974) | 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 (97948 ÷ 4 = 24487) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 97948 a prime number?
No. 97948 = × 47 × 521, so it is divisible by 2.
What are the factors of 97948?
1, 2, 4, 47, 94, 188, 521, 1042, 2084, 24487, 48974, 97948.
What is 97948 in binary?
10111111010011100 (hexadecimal 17E9C, octal 277234).
What is the square root of 97948?
About 312.9665, exactly 2√24487.
Is 97948 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 97948?
97948 is a happy number: repeatedly adding the squares of its digits reaches 1.