The number 7601
7601 is a composite number with 4 divisors. Its prime factorisation is 11 × 691. Divisors (4): 1, 11, 691, 7601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7601: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 691, the product of two primes.
- 2
7601 is composite. Its prime factorisation is
- 3
The divisors add up to 8304; without 7601 itself that is 703, so 7601 is deficient (703 is less than 7601). Euler's totient φ(7601) = 6900 numbers up to 7601 share no factor with it.
- 4
The digits of 7601 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7601 = 11 \times 691 \]
7601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8304 |
| Euler totient φ(n) | 6900 |
| Square | 57775201 |
| Cube | 439149302801 |
| Square root | 87.183714 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.601 × |
7601 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and one |
| Binary (base 2) | 1110110110001 |
| Octal (base 8) | 16661 |
| Hexadecimal (base 16) | 1DB1 |
| Base 3 | 101102112 |
| As time | 7601 seconds = 2 h 6 min 41 s |
Is 7601 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 1) | 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 (7601 ÷ 11 = 691) | 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 7601 a prime number?
No. 7601 = 11 × 691, so it is divisible by 11.
What are the factors of 7601?
1, 11, 691, 7601.
What is 7601 in binary?
1110110110001 (hexadecimal 1DB1, octal 16661).
What is the square root of 7601?
About 87.1837.
Is 7601 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7601?
7601 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 691, the product of two primes.