The number 76901
76901 is a composite number with 4 divisors. Its prime factorisation is 11 × 6991. Divisors (4): 1, 11, 6991, 76901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76901: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6991, the product of two primes.
- 2
76901 is composite. Its prime factorisation is
- 3
The divisors add up to 83904; without 76901 itself that is 7003, so 76901 is deficient (7003 is less than 76901). Euler's totient φ(76901) = 69900 numbers up to 76901 share no factor with it.
- 4
The digits of 76901 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76901 = 11 \times 6991 \]
76901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83904 |
| Euler totient φ(n) | 69900 |
| Square | 5913763801 |
| Cube | 454774350060701 |
| Square root | 277.310296 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6901 × |
76901 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and one |
| Binary (base 2) | 10010110001100101 |
| Octal (base 8) | 226145 |
| Hexadecimal (base 16) | 12C65 |
| Base 3 | 10220111012 |
| As time | 76901 seconds = 21 h 21 min 41 s |
Is 76901 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 | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (76901 ÷ 11 = 6991) | 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 76901 a prime number?
No. 76901 = 11 × 6991, so it is divisible by 11.
What are the factors of 76901?
1, 11, 6991, 76901.
What is 76901 in binary?
10010110001100101 (hexadecimal 12C65, octal 226145).
What is the square root of 76901?
About 277.3103.
Is 76901 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 76901?
76901 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 6991, the product of two primes.