The number 77948
77948 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1499. Divisors (12): 1, 2, 4, 13, 26, 52, 1499, 2998, 5996, 19487, 38974, 77948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77948 is composite. Its prime factorisation is
- 3
The divisors add up to 147000; without 77948 itself that is 69052, so 77948 is deficient (69052 is less than 77948). Euler's totient φ(77948) = 35952 numbers up to 77948 share no factor with it.
- 4
The digits of 77948 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77948 = 2^{2} \times 13 \times 1499 \]77948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 147000 |
| Euler totient φ(n) | 35952 |
| Square | 6075890704 |
| Cube | 473603528595392 |
| Square root | 279.191690 (= 2√19487) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7948 × |
77948 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and forty-eight |
| Binary (base 2) | 10011000001111100 |
| Octal (base 8) | 230174 |
| Hexadecimal (base 16) | 1307C |
| Base 3 | 10221220222 |
| As time | 77948 seconds = 21 h 39 min 8 s |
Is 77948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77948 ÷ 2 = 38974) | 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 (77948 ÷ 4 = 19487) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77948 a prime number?
No. 77948 = × 13 × 1499, so it is divisible by 2.
What are the factors of 77948?
1, 2, 4, 13, 26, 52, 1499, 2998, 5996, 19487, 38974, 77948.
What is 77948 in binary?
10011000001111100 (hexadecimal 1307C, octal 230174).
What is the square root of 77948?
About 279.1917, exactly 2√19487.
Is 77948 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 77948?
It is a composite number with 12 divisors.