The number 76601
76601 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 353. Divisors (8): 1, 7, 31, 217, 353, 2471, 10943, 76601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76601 is composite. Its prime factorisation is
- 3
The divisors add up to 90624; without 76601 itself that is 14023, so 76601 is deficient (14023 is less than 76601). Euler's totient φ(76601) = 63360 numbers up to 76601 share no factor with it.
- 4
The digits of 76601 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 262 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76601 = 7 \times 31 \times 353 \]
76601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90624 |
| Euler totient φ(n) | 63360 |
| Square | 5867713201 |
| Cube | 449472698909801 |
| Square root | 276.768857 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 262 |
| Scientific notation | 7.6601 × |
76601 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand six hundred and one |
| Binary (base 2) | 10010101100111001 |
| Octal (base 8) | 225471 |
| Hexadecimal (base 16) | 12B39 |
| Base 3 | 10220002002 |
| As time | 76601 seconds = 21 h 16 min 41 s |
Is 76601 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76601 ÷ 7 = 10943) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76601 a prime number?
No. 76601 = 7 × 31 × 353, so it is divisible by 7.
What are the factors of 76601?
1, 7, 31, 217, 353, 2471, 10943, 76601.
What is 76601 in binary?
10010101100111001 (hexadecimal 12B39, octal 225471).
What is the square root of 76601?
About 276.7689.
Is 76601 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 76601?
It is a composite number with 8 divisors.