The number 7672
7672 is a composite number with 16 divisors. Its prime factorisation is × 7 × 137. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7672 is composite. Its prime factorisation is
- 3
The divisors add up to 16560; without 7672 itself that is 8888, so 7672 is abundant (8888 is more than 7672). Euler's totient φ(7672) = 3264 numbers up to 7672 share no factor with it.
- 4
The digits of 7672 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7672 = 2^{3} \times 7 \times 137 \]7672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16560 |
| Euler totient φ(n) | 3264 |
| Square | 58859584 |
| Cube | 451570728448 |
| Square root | 87.589954 (= 2√1918) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.672 × |
7672 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and seventy-two |
| Binary (base 2) | 1110111111000 |
| Octal (base 8) | 16770 |
| Hexadecimal (base 16) | 1DF8 |
| Base 3 | 101112011 |
| As time | 7672 seconds = 2 h 7 min 52 s |
Is 7672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7672 ÷ 2 = 3836) | 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 (7672 ÷ 4 = 1918) | 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 (7672 ÷ 7 = 1096) | 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 (7672 ÷ 8 = 959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 7672 a prime number?
No. 7672 = × 7 × 137, so it is divisible by 2.
What are the factors of 7672?
1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672.
What is 7672 in binary?
1110111111000 (hexadecimal 1DF8, octal 16770).
What is the square root of 7672?
About 87.5900, exactly 2√1918.
Is 7672 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 7672?
It is a composite number with 16 divisors.