The number 7626
7626 is a triangular number: 1 + 2 + … + 123 = 7626. Its prime factorisation is 2 × 3 × 31 × 41. Divisors (16): 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7626: a triangular number: 1 + 2 + … + 123 = 7626.
- 2
7626 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 7626 itself that is 8502, so 7626 is abundant (8502 is more than 7626). Euler's totient φ(7626) = 2400 numbers up to 7626 share no factor with it.
- 4
The digits of 7626 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7626 = 2 \times 3 \times 31 \times 41 \]
7626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 2400 |
| Square | 58155876 |
| Cube | 443496710376 |
| Square root | 87.326972 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.626 × |
7626 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and twenty-six |
| Binary (base 2) | 1110111001010 |
| Octal (base 8) | 16712 |
| Hexadecimal (base 16) | 1DCA |
| Base 3 | 101110110 |
| As time | 7626 seconds = 2 h 7 min 6 s |
Is 7626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7626 ÷ 2 = 3813) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7626 ÷ 3 = 2542) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (7626 ÷ 6 = 1271) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7626 a prime number?
No. 7626 = 2 × 3 × 31 × 41, so it is divisible by 2.
What are the factors of 7626?
1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626.
What is 7626 in binary?
1110111001010 (hexadecimal 1DCA, octal 16712).
What is the square root of 7626?
About 87.3270.
Is 7626 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7626?
7626 is a triangular number: 1 + 2 + … + 123 = 7626.