The number 51337
51337 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 359. Divisors (8): 1, 11, 13, 143, 359, 3949, 4667, 51337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
51337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51337 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 51337 itself that is 9143, so 51337 is deficient (9143 is less than 51337). Euler's totient φ(51337) = 42960 numbers up to 51337 share no factor with it.
- 4
The digits of 51337 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51337 = 11 \times 13 \times 359 \]
51337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 42960 |
| Square | 2635487569 |
| Cube | 135298025329753 |
| Square root | 226.576698 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.1337 × |
51337 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand three hundred and thirty-seven |
| Binary (base 2) | 1100100010001001 |
| Octal (base 8) | 144211 |
| Hexadecimal (base 16) | C889 |
| Base 3 | 2121102101 |
| As time | 51337 seconds = 14 h 15 min 37 s |
Is 51337 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 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (51337 ÷ 11 = 4667) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51337 a prime number?
No. 51337 = 11 × 13 × 359, so it is divisible by 11.
What are the factors of 51337?
1, 11, 13, 143, 359, 3949, 4667, 51337.
What is 51337 in binary?
1100100010001001 (hexadecimal C889, octal 144211).
What is the square root of 51337?
About 226.5767.
Is 51337 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 51337?
It is a composite number with 8 divisors.