The number 53949
53949 is a composite number with 12 divisors. Its prime factorisation is 3 × × 367. Divisors (12): 1, 3, 7, 21, 49, 147, 367, 1101, 2569, 7707, 17983, 53949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53949 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53949 is composite. Its prime factorisation is
- 3
The divisors add up to 83904; without 53949 itself that is 29955, so 53949 is deficient (29955 is less than 53949). Euler's totient φ(53949) = 30744 numbers up to 53949 share no factor with it.
- 4
The digits of 53949 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53949 = 3 \times 7^{2} \times 367 \]53949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83904 |
| Euler totient φ(n) | 30744 |
| Square | 2910494601 |
| Cube | 157018273229349 |
| Square root | 232.269240 (= 7√1101) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3949 × |
53949 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and forty-nine |
| Binary (base 2) | 1101001010111101 |
| Octal (base 8) | 151275 |
| Hexadecimal (base 16) | D2BD |
| Base 3 | 2202000010 |
| As time | 53949 seconds = 14 h 59 min 9 s |
Is 53949 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 (53949 ÷ 3 = 17983) | 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 | Yes (53949 ÷ 7 = 7707) | 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 5) | 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 53949 a prime number?
No. 53949 = 3 × × 367, so it is divisible by 3.
What are the factors of 53949?
1, 3, 7, 21, 49, 147, 367, 1101, 2569, 7707, 17983, 53949.
What is 53949 in binary?
1101001010111101 (hexadecimal D2BD, octal 151275).
What is the square root of 53949?
About 232.2692, exactly 7√1101.
Is 53949 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 53949?
It is a composite number with 12 divisors.