The number 62049
62049 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 37 × 43. Divisors (16): 1, 3, 13, 37, 39, 43, 111, 129, 481, 559, 1443, 1591, 1677, 4773, 20683, 62049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62049 is composite. Its prime factorisation is
- 3
The divisors add up to 93632; without 62049 itself that is 31583, so 62049 is deficient (31583 is less than 62049). Euler's totient φ(62049) = 36288 numbers up to 62049 share no factor with it.
- 4
The digits of 62049 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62049 = 3 \times 13 \times 37 \times 43 \]
62049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93632 |
| Euler totient φ(n) | 36288 |
| Square | 3850078401 |
| Cube | 238893514703649 |
| Square root | 249.096367 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2049 × |
62049 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and forty-nine |
| Binary (base 2) | 1111001001100001 |
| Octal (base 8) | 171141 |
| Hexadecimal (base 16) | F261 |
| Base 3 | 10011010010 |
| As time | 62049 seconds = 17 h 14 min 9 s |
Is 62049 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 (62049 ÷ 3 = 20683) | 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 | No (remainder 1) | 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 9) | 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 62049 a prime number?
No. 62049 = 3 × 13 × 37 × 43, so it is divisible by 3.
What are the factors of 62049?
1, 3, 13, 37, 39, 43, 111, 129, 481, 559, 1443, 1591, 1677, 4773, 20683, 62049.
What is 62049 in binary?
1111001001100001 (hexadecimal F261, octal 171141).
What is the square root of 62049?
About 249.0964.
Is 62049 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 62049?
It is a composite number with 16 divisors.