The number 77464
77464 is a composite number with 16 divisors. Its prime factorisation is × 23 × 421. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 421, 842, 1684, 3368, 9683, 19366, 38732, 77464.
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How to work it out
- 1
77464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77464 is composite. Its prime factorisation is
- 3
The divisors add up to 151920; without 77464 itself that is 74456, so 77464 is deficient (74456 is less than 77464). Euler's totient φ(77464) = 36960 numbers up to 77464 share no factor with it.
- 4
The digits of 77464 add up to 28, 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
\[ 77464 = 2^{3} \times 23 \times 421 \]77464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151920 |
| Euler totient φ(n) | 36960 |
| Square | 6000671296 |
| Cube | 464836001273344 |
| Square root | 278.323553 (= 2√19366) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7464 × |
77464 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and sixty-four |
| Binary (base 2) | 10010111010011000 |
| Octal (base 8) | 227230 |
| Hexadecimal (base 16) | 12E98 |
| Base 3 | 10221021001 |
| As time | 77464 seconds = 21 h 31 min 4 s |
Is 77464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77464 ÷ 2 = 38732) | 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 (77464 ÷ 4 = 19366) | 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 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 | Yes (77464 ÷ 8 = 9683) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 77464 a prime number?
No. 77464 = × 23 × 421, so it is divisible by 2.
What are the factors of 77464?
1, 2, 4, 8, 23, 46, 92, 184, 421, 842, 1684, 3368, 9683, 19366, 38732, 77464.
What is 77464 in binary?
10010111010011000 (hexadecimal 12E98, octal 227230).
What is the square root of 77464?
About 278.3236, exactly 2√19366.
Is 77464 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77464?
It is a composite number with 16 divisors.