The number 54033
54033 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 83. Divisors (16): 1, 3, 7, 21, 31, 83, 93, 217, 249, 581, 651, 1743, 2573, 7719, 18011, 54033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54033 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54033 is composite. Its prime factorisation is
- 3
The divisors add up to 86016; without 54033 itself that is 31983, so 54033 is deficient (31983 is less than 54033). Euler's totient φ(54033) = 29520 numbers up to 54033 share no factor with it.
- 4
The digits of 54033 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54033 = 3 \times 7 \times 31 \times 83 \]
54033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86016 |
| Euler totient φ(n) | 29520 |
| Square | 2919565089 |
| Cube | 157752860453937 |
| Square root | 232.449995 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.4033 × |
54033 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and thirty-three |
| Binary (base 2) | 1101001100010001 |
| Octal (base 8) | 151421 |
| Hexadecimal (base 16) | D311 |
| Base 3 | 2202010020 |
| As time | 54033 seconds = 15 h 0 min 33 s |
Is 54033 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 (54033 ÷ 3 = 18011) | 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 3) | 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 (54033 ÷ 7 = 7719) | 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 6) | 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 1) | 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 54033 a prime number?
No. 54033 = 3 × 7 × 31 × 83, so it is divisible by 3.
What are the factors of 54033?
1, 3, 7, 21, 31, 83, 93, 217, 249, 581, 651, 1743, 2573, 7719, 18011, 54033.
What is 54033 in binary?
1101001100010001 (hexadecimal D311, octal 151421).
What is the square root of 54033?
About 232.4500.
Is 54033 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 54033?
It is a composite number with 16 divisors.