The number 76552
76552 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1367. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1367, 2734, 5468, 9569, 10936, 19138, 38276, 76552.
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How to work it out
- 1
What is special about 76552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76552 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 76552 itself that is 87608, so 76552 is abundant (87608 is more than 76552). Euler's totient φ(76552) = 32784 numbers up to 76552 share no factor with it.
- 4
The digits of 76552 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76552 = 2^{3} \times 7 \times 1367 \]76552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 32784 |
| Square | 5860208704 |
| Cube | 448610696708608 |
| Square root | 276.680321 (= 2√19138) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6552 × |
76552 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand five hundred and fifty-two |
| Binary (base 2) | 10010101100001000 |
| Octal (base 8) | 225410 |
| Hexadecimal (base 16) | 12B08 |
| Base 3 | 10220000021 |
| As time | 76552 seconds = 21 h 15 min 52 s |
Is 76552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76552 ÷ 2 = 38276) | 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 | Yes (76552 ÷ 4 = 19138) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76552 ÷ 7 = 10936) | 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 (76552 ÷ 8 = 9569) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76552 a prime number?
No. 76552 = × 7 × 1367, so it is divisible by 2.
What are the factors of 76552?
1, 2, 4, 7, 8, 14, 28, 56, 1367, 2734, 5468, 9569, 10936, 19138, 38276, 76552.
What is 76552 in binary?
10010101100001000 (hexadecimal 12B08, octal 225410).
What is the square root of 76552?
About 276.6803, exactly 2√19138.
Is 76552 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 76552?
76552 is a happy number: repeatedly adding the squares of its digits reaches 1.