The number 97929
97929 is a composite number with 24 divisors. Its prime factorisation is × 13 × 31. Divisors (24): 1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 243, 279, 351, 403, 837, 1053 … 97929.
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How to work it out
- 1
97929 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97929 is composite. Its prime factorisation is
- 3
The divisors add up to 163072; without 97929 itself that is 65143, so 97929 is deficient (65143 is less than 97929). Euler's totient φ(97929) = 58320 numbers up to 97929 share no factor with it.
- 4
The digits of 97929 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97929 = 3^{5} \times 13 \times 31 \]97929 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163072 |
| Euler totient φ(n) | 58320 |
| Square | 9590089041 |
| Cube | 939147829696089 |
| Square root | 312.936096 (= 9√1209) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7929 × |
97929 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and twenty-nine |
| Binary (base 2) | 10111111010001001 |
| Octal (base 8) | 277211 |
| Hexadecimal (base 16) | 17E89 |
| Base 3 | 11222100000 |
| As time | 97929 seconds = 27 h 12 min 9 s |
Is 97929 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 (97929 ÷ 3 = 32643) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97929 ÷ 9 = 10881) | 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 7) | 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 97929 a prime number?
No. 97929 = × 13 × 31, so it is divisible by 3.
What are the factors of 97929?
1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 243, 279, 351, 403, 837, 1053, 1209, 2511, 3159, 3627, 7533, 10881, 32643, 97929.
What is 97929 in binary?
10111111010001001 (hexadecimal 17E89, octal 277211).
What is the square root of 97929?
About 312.9361, exactly 9√1209.
Is 97929 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 97929?
It is a composite number with 24 divisors.