The number 97979
97979 is a palindrome: it reads 97979 backwards too. Its prime factorisation is 7 × 13997. Divisors (4): 1, 7, 13997, 97979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97979: a palindrome: it reads 97979 backwards too; a semiprime: 7 × 13997, the product of two primes.
- 2
97979 is composite. Its prime factorisation is
- 3
The divisors add up to 111984; without 97979 itself that is 14005, so 97979 is deficient (14005 is less than 97979). Euler's totient φ(97979) = 83976 numbers up to 97979 share no factor with it.
- 4
The digits of 97979 add up to 41, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97979 = 7 \times 13997 \]
97979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 111984 |
| Euler totient φ(n) | 83976 |
| Square | 9599884441 |
| Cube | 940587077644739 |
| Square root | 313.015974 |
| Digit sum / digital root | 41 / 5 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7979 × |
97979 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and seventy-nine |
| Binary (base 2) | 10111111010111011 |
| Octal (base 8) | 277273 |
| Hexadecimal (base 16) | 17EBB |
| Base 3 | 11222101212 |
| As time | 97979 seconds = 27 h 12 min 59 s |
Is 97979 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 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97979 ÷ 7 = 13997) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97979 a prime number?
No. 97979 = 7 × 13997, so it is divisible by 7.
What are the factors of 97979?
1, 7, 13997, 97979.
What is 97979 in binary?
10111111010111011 (hexadecimal 17EBB, octal 277273).
What is the square root of 97979?
About 313.0160.
Is 97979 divisible by 3?
No. Its digits add up to 41, which is not a multiple of 3.
What is special about the number 97979?
97979 is a palindrome: it reads 97979 backwards too; a semiprime: 7 × 13997, the product of two primes.