The number 77463
77463 is a composite number with 16 divisors. Its prime factorisation is × 19 × 151. Divisors (16): 1, 3, 9, 19, 27, 57, 151, 171, 453, 513, 1359, 2869, 4077, 8607, 25821, 77463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77463: a Harshad number: divisible by its digit sum 27.
- 2
77463 is composite. Its prime factorisation is
- 3
The divisors add up to 121600; without 77463 itself that is 44137, so 77463 is deficient (44137 is less than 77463). Euler's totient φ(77463) = 48600 numbers up to 77463 share no factor with it.
- 4
The digits of 77463 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77463 = 3^{3} \times 19 \times 151 \]77463 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121600 |
| Euler totient φ(n) | 48600 |
| Square | 6000516369 |
| Cube | 464817999491847 |
| Square root | 278.321756 (= 3√8607) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7463 × |
77463 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and sixty-three |
| Binary (base 2) | 10010111010010111 |
| Octal (base 8) | 227227 |
| Hexadecimal (base 16) | 12E97 |
| Base 3 | 10221021000 |
| As time | 77463 seconds = 21 h 31 min 3 s |
Is 77463 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 (77463 ÷ 3 = 25821) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77463 ÷ 9 = 8607) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77463 a prime number?
No. 77463 = × 19 × 151, so it is divisible by 3.
What are the factors of 77463?
1, 3, 9, 19, 27, 57, 151, 171, 453, 513, 1359, 2869, 4077, 8607, 25821, 77463.
What is 77463 in binary?
10010111010010111 (hexadecimal 12E97, octal 227227).
What is the square root of 77463?
About 278.3218, exactly 3√8607.
Is 77463 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77463?
77463 is a Harshad number: divisible by its digit sum 27.