The number 61420
61420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 37 × 83. Divisors (24): 1, 2, 4, 5, 10, 20, 37, 74, 83, 148, 166, 185, 332, 370, 415, 740 … 61420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61420 is composite. Its prime factorisation is
- 3
The divisors add up to 134064; without 61420 itself that is 72644, so 61420 is abundant (72644 is more than 61420). Euler's totient φ(61420) = 23616 numbers up to 61420 share no factor with it.
- 4
The digits of 61420 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61420 = 2^{2} \times 5 \times 37 \times 83 \]61420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 134064 |
| Euler totient φ(n) | 23616 |
| Square | 3772416400 |
| Cube | 231701815288000 |
| Square root | 247.830587 (= 2√15355) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.142 × |
61420 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and twenty |
| Binary (base 2) | 1110111111101100 |
| Octal (base 8) | 167754 |
| Hexadecimal (base 16) | EFEC |
| Base 3 | 10010020211 |
| As time | 61420 seconds = 17 h 3 min 40 s |
Is 61420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61420 ÷ 2 = 30710) | 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 | Yes (61420 ÷ 4 = 15355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61420 ÷ 5 = 12284) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61420 ÷ 10 = 6142) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61420 a prime number?
No. 61420 = × 5 × 37 × 83, so it is divisible by 2.
What are the factors of 61420?
1, 2, 4, 5, 10, 20, 37, 74, 83, 148, 166, 185, 332, 370, 415, 740, 830, 1660, 3071, 6142, 12284, 15355, 30710, 61420.
What is 61420 in binary?
1110111111101100 (hexadecimal EFEC, octal 167754).
What is the square root of 61420?
About 247.8306, exactly 2√15355.
Is 61420 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 61420?
It is a composite number with 24 divisors.