The number 5397
5397 is a binary palindrome (1010100010101). Its prime factorisation is 3 × 7 × 257. Divisors (8): 1, 3, 7, 21, 257, 771, 1799, 5397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5397: a binary palindrome (1010100010101).
- 2
5397 is composite. Its prime factorisation is
- 3
The divisors add up to 8256; without 5397 itself that is 2859, so 5397 is deficient (2859 is less than 5397). Euler's totient φ(5397) = 3072 numbers up to 5397 share no factor with it.
- 4
The digits of 5397 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5397 = 3 \times 7 \times 257 \]
5397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8256 |
| Euler totient φ(n) | 3072 |
| Square | 29127609 |
| Cube | 157201705773 |
| Square root | 73.464277 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.397 × |
5397 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and ninety-seven |
| Binary (base 2) | 1010100010101 |
| Octal (base 8) | 12425 |
| Hexadecimal (base 16) | 1515 |
| Base 3 | 21101220 |
| As time | 5397 seconds = 1 h 29 min 57 s |
Is 5397 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 (5397 ÷ 3 = 1799) | 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 2) | 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 | Yes (5397 ÷ 7 = 771) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5397 a prime number?
No. 5397 = 3 × 7 × 257, so it is divisible by 3.
What are the factors of 5397?
1, 3, 7, 21, 257, 771, 1799, 5397.
What is 5397 in binary?
1010100010101 (hexadecimal 1515, octal 12425).
What is the square root of 5397?
About 73.4643.
Is 5397 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5397?
5397 is a binary palindrome (1010100010101).