The number 77469
77469 is a composite number with 24 divisors. Its prime factorisation is 3 × × 17 × 31. Divisors (24): 1, 3, 7, 17, 21, 31, 49, 51, 93, 119, 147, 217, 357, 527, 651, 833 … 77469.
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How to work it out
- 1
77469 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77469 is composite. Its prime factorisation is
- 3
The divisors add up to 131328; without 77469 itself that is 53859, so 77469 is deficient (53859 is less than 77469). Euler's totient φ(77469) = 40320 numbers up to 77469 share no factor with it.
- 4
The digits of 77469 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77469 = 3 \times 7^{2} \times 17 \times 31 \]77469 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131328 |
| Euler totient φ(n) | 40320 |
| Square | 6001445961 |
| Cube | 464926017152709 |
| Square root | 278.332535 (= 7√1581) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7469 × |
77469 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and sixty-nine |
| Binary (base 2) | 10010111010011101 |
| Octal (base 8) | 227235 |
| Hexadecimal (base 16) | 12E9D |
| Base 3 | 10221021020 |
| As time | 77469 seconds = 21 h 31 min 9 s |
Is 77469 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 (77469 ÷ 3 = 25823) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77469 ÷ 7 = 11067) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77469 a prime number?
No. 77469 = 3 × × 17 × 31, so it is divisible by 3.
What are the factors of 77469?
1, 3, 7, 17, 21, 31, 49, 51, 93, 119, 147, 217, 357, 527, 651, 833, 1519, 1581, 2499, 3689, 4557, 11067, 25823, 77469.
What is 77469 in binary?
10010111010011101 (hexadecimal 12E9D, octal 227235).
What is the square root of 77469?
About 278.3325, exactly 7√1581.
Is 77469 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77469?
It is a composite number with 24 divisors.