The number 97149
97149 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 47 × 53. Divisors (16): 1, 3, 13, 39, 47, 53, 141, 159, 611, 689, 1833, 2067, 2491, 7473, 32383, 97149.
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How to work it out
- 1
97149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97149 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 97149 itself that is 48003, so 97149 is deficient (48003 is less than 97149). Euler's totient φ(97149) = 57408 numbers up to 97149 share no factor with it.
- 4
The digits of 97149 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97149 = 3 \times 13 \times 47 \times 53 \]
97149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 57408 |
| Square | 9437928201 |
| Cube | 916885286798949 |
| Square root | 311.687343 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7149 × |
97149 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and forty-nine |
| Binary (base 2) | 10111101101111101 |
| Octal (base 8) | 275575 |
| Hexadecimal (base 16) | 17B7D |
| Base 3 | 11221021010 |
| As time | 97149 seconds = 26 h 59 min 9 s |
Is 97149 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 (97149 ÷ 3 = 32383) | 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 4) | 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 3) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 97149 a prime number?
No. 97149 = 3 × 13 × 47 × 53, so it is divisible by 3.
What are the factors of 97149?
1, 3, 13, 39, 47, 53, 141, 159, 611, 689, 1833, 2067, 2491, 7473, 32383, 97149.
What is 97149 in binary?
10111101101111101 (hexadecimal 17B7D, octal 275575).
What is the square root of 97149?
About 311.6873.
Is 97149 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97149?
It is a composite number with 16 divisors.