The number 76420
76420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3821. Divisors (12): 1, 2, 4, 5, 10, 20, 3821, 7642, 15284, 19105, 38210, 76420.
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How to work it out
- 1
76420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76420 is composite. Its prime factorisation is
- 3
The divisors add up to 160524; without 76420 itself that is 84104, so 76420 is abundant (84104 is more than 76420). Euler's totient φ(76420) = 30560 numbers up to 76420 share no factor with it.
- 4
The digits of 76420 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76420 = 2^{2} \times 5 \times 3821 \]76420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 160524 |
| Euler totient φ(n) | 30560 |
| Square | 5840016400 |
| Cube | 446294053288000 |
| Square root | 276.441676 (= 2√19105) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.642 × |
76420 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and twenty |
| Binary (base 2) | 10010101010000100 |
| Octal (base 8) | 225204 |
| Hexadecimal (base 16) | 12A84 |
| Base 3 | 10212211101 |
| As time | 76420 seconds = 21 h 13 min 40 s |
Is 76420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76420 ÷ 2 = 38210) | 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 (76420 ÷ 4 = 19105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76420 ÷ 5 = 15284) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76420 ÷ 10 = 7642) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 76420 a prime number?
No. 76420 = × 5 × 3821, so it is divisible by 2.
What are the factors of 76420?
1, 2, 4, 5, 10, 20, 3821, 7642, 15284, 19105, 38210, 76420.
What is 76420 in binary?
10010101010000100 (hexadecimal 12A84, octal 225204).
What is the square root of 76420?
About 276.4417, exactly 2√19105.
Is 76420 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 76420?
It is a composite number with 12 divisors.