The number 88077
88077 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 157. Divisors (16): 1, 3, 11, 17, 33, 51, 157, 187, 471, 561, 1727, 2669, 5181, 8007, 29359, 88077.
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How to work it out
- 1
What is special about 88077: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88077 is composite. Its prime factorisation is
- 3
The divisors add up to 136512; without 88077 itself that is 48435, so 88077 is deficient (48435 is less than 88077). Euler's totient φ(88077) = 49920 numbers up to 88077 share no factor with it.
- 4
The digits of 88077 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88077 = 3 \times 11 \times 17 \times 157 \]
88077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136512 |
| Euler totient φ(n) | 49920 |
| Square | 7757557929 |
| Cube | 683262429712533 |
| Square root | 296.777695 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8077 × |
88077 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and seventy-seven |
| Binary (base 2) | 10101100000001101 |
| Octal (base 8) | 254015 |
| Hexadecimal (base 16) | 1580D |
| Base 3 | 11110211010 |
| As time | 88077 seconds = 24 h 27 min 57 s |
Is 88077 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 (88077 ÷ 3 = 29359) | 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 2) | 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88077 ÷ 11 = 8007) | 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 88077 a prime number?
No. 88077 = 3 × 11 × 17 × 157, so it is divisible by 3.
What are the factors of 88077?
1, 3, 11, 17, 33, 51, 157, 187, 471, 561, 1727, 2669, 5181, 8007, 29359, 88077.
What is 88077 in binary?
10101100000001101 (hexadecimal 1580D, octal 254015).
What is the square root of 88077?
About 296.7777.
Is 88077 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 88077?
88077 is a happy number: repeatedly adding the squares of its digits reaches 1.