The number 77470
77470 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 61 × 127. Divisors (16): 1, 2, 5, 10, 61, 122, 127, 254, 305, 610, 635, 1270, 7747, 15494, 38735, 77470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77470 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77470 is composite. Its prime factorisation is
- 3
The divisors add up to 142848; without 77470 itself that is 65378, so 77470 is deficient (65378 is less than 77470). Euler's totient φ(77470) = 30240 numbers up to 77470 share no factor with it.
- 4
The digits of 77470 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77470 = 2 \times 5 \times 61 \times 127 \]
77470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142848 |
| Euler totient φ(n) | 30240 |
| Square | 6001600900 |
| Cube | 464944021723000 |
| Square root | 278.334331 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.747 × |
77470 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and seventy |
| Binary (base 2) | 10010111010011110 |
| Octal (base 8) | 227236 |
| Hexadecimal (base 16) | 12E9E |
| Base 3 | 10221021021 |
| As time | 77470 seconds = 21 h 31 min 10 s |
Is 77470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77470 ÷ 2 = 38735) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77470 ÷ 5 = 15494) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77470 ÷ 10 = 7747) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77470 a prime number?
No. 77470 = 2 × 5 × 61 × 127, so it is divisible by 2.
What are the factors of 77470?
1, 2, 5, 10, 61, 122, 127, 254, 305, 610, 635, 1270, 7747, 15494, 38735, 77470.
What is 77470 in binary?
10010111010011110 (hexadecimal 12E9E, octal 227236).
What is the square root of 77470?
About 278.3343.
Is 77470 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77470?
It is a composite number with 16 divisors.