The number 77552
77552 is a composite number with 20 divisors. Its prime factorisation is × 37 × 131. Divisors (20): 1, 2, 4, 8, 16, 37, 74, 131, 148, 262, 296, 524, 592, 1048, 2096, 4847 … 77552.
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How to work it out
- 1
77552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77552 is composite. Its prime factorisation is
- 3
The divisors add up to 155496; without 77552 itself that is 77944, so 77552 is abundant (77944 is more than 77552). Euler's totient φ(77552) = 37440 numbers up to 77552 share no factor with it.
- 4
The digits of 77552 add up to 26, 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
\[ 77552 = 2^{4} \times 37 \times 131 \]77552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 155496 |
| Euler totient φ(n) | 37440 |
| Square | 6014312704 |
| Cube | 466421978820608 |
| Square root | 278.481597 (= 4√4847) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7552 × |
77552 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and fifty-two |
| Binary (base 2) | 10010111011110000 |
| Octal (base 8) | 227360 |
| Hexadecimal (base 16) | 12EF0 |
| Base 3 | 10221101022 |
| As time | 77552 seconds = 21 h 32 min 32 s |
Is 77552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77552 ÷ 2 = 38776) | 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 (77552 ÷ 4 = 19388) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 (77552 ÷ 8 = 9694) | 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 2) | 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 77552 a prime number?
No. 77552 = × 37 × 131, so it is divisible by 2.
What are the factors of 77552?
1, 2, 4, 8, 16, 37, 74, 131, 148, 262, 296, 524, 592, 1048, 2096, 4847, 9694, 19388, 38776, 77552.
What is 77552 in binary?
10010111011110000 (hexadecimal 12EF0, octal 227360).
What is the square root of 77552?
About 278.4816, exactly 4√4847.
Is 77552 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77552?
It is a composite number with 20 divisors.