The number 53983
53983 is a composite number with 4 divisors. Its prime factorisation is 37 × 1459. Divisors (4): 1, 37, 1459, 53983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53983: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1459, the product of two primes.
- 2
53983 is composite. Its prime factorisation is
- 3
The divisors add up to 55480; without 53983 itself that is 1497, so 53983 is deficient (1497 is less than 53983). Euler's totient φ(53983) = 52488 numbers up to 53983 share no factor with it.
- 4
The digits of 53983 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53983 = 37 \times 1459 \]
53983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 55480 |
| Euler totient φ(n) | 52488 |
| Square | 2914164289 |
| Cube | 157315330813087 |
| Square root | 232.342420 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3983 × |
53983 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and eighty-three |
| Binary (base 2) | 1101001011011111 |
| Octal (base 8) | 151337 |
| Hexadecimal (base 16) | D2DF |
| Base 3 | 2202001101 |
| As time | 53983 seconds = 14 h 59 min 43 s |
Is 53983 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53983 a prime number?
No. 53983 = 37 × 1459, so it is divisible by 37.
What are the factors of 53983?
1, 37, 1459, 53983.
What is 53983 in binary?
1101001011011111 (hexadecimal D2DF, octal 151337).
What is the square root of 53983?
About 232.3424.
Is 53983 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 53983?
53983 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1459, the product of two primes.