The number 62420
62420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3121. Divisors (12): 1, 2, 4, 5, 10, 20, 3121, 6242, 12484, 15605, 31210, 62420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62420 is composite. Its prime factorisation is
- 3
The divisors add up to 131124; without 62420 itself that is 68704, so 62420 is abundant (68704 is more than 62420). Euler's totient φ(62420) = 24960 numbers up to 62420 share no factor with it.
- 4
The digits of 62420 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62420 = 2^{2} \times 5 \times 3121 \]62420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131124 |
| Euler totient φ(n) | 24960 |
| Square | 3896256400 |
| Cube | 243204324488000 |
| Square root | 249.839949 (= 2√15605) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.242 × |
62420 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and twenty |
| Binary (base 2) | 1111001111010100 |
| Octal (base 8) | 171724 |
| Hexadecimal (base 16) | F3D4 |
| Base 3 | 10011121212 |
| As time | 62420 seconds = 17 h 20 min 20 s |
Is 62420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62420 ÷ 2 = 31210) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62420 ÷ 4 = 15605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62420 ÷ 5 = 12484) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (62420 ÷ 10 = 6242) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62420 a prime number?
No. 62420 = × 5 × 3121, so it is divisible by 2.
What are the factors of 62420?
1, 2, 4, 5, 10, 20, 3121, 6242, 12484, 15605, 31210, 62420.
What is 62420 in binary?
1111001111010100 (hexadecimal F3D4, octal 171724).
What is the square root of 62420?
About 249.8399, exactly 2√15605.
Is 62420 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 62420?
It is a composite number with 12 divisors.