The number 53337
53337 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 773. Divisors (8): 1, 3, 23, 69, 773, 2319, 17779, 53337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53337 is composite. Its prime factorisation is
- 3
The divisors add up to 74304; without 53337 itself that is 20967, so 53337 is deficient (20967 is less than 53337). Euler's totient φ(53337) = 33968 numbers up to 53337 share no factor with it.
- 4
The digits of 53337 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53337 = 3 \times 23 \times 773 \]
53337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74304 |
| Euler totient φ(n) | 33968 |
| Square | 2844835569 |
| Cube | 151734994743753 |
| Square root | 230.948046 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3337 × |
53337 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and thirty-seven |
| Binary (base 2) | 1101000001011001 |
| Octal (base 8) | 150131 |
| Hexadecimal (base 16) | D059 |
| Base 3 | 2201011110 |
| As time | 53337 seconds = 14 h 48 min 57 s |
Is 53337 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 (53337 ÷ 3 = 17779) | 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 | No (remainder 4) | 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 3) | 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 9) | 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 53337 a prime number?
No. 53337 = 3 × 23 × 773, so it is divisible by 3.
What are the factors of 53337?
1, 3, 23, 69, 773, 2319, 17779, 53337.
What is 53337 in binary?
1101000001011001 (hexadecimal D059, octal 150131).
What is the square root of 53337?
About 230.9480.
Is 53337 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53337?
It is a composite number with 8 divisors.