The number 76401
76401 is a composite number with 12 divisors. Its prime factorisation is × 13 × 653. Divisors (12): 1, 3, 9, 13, 39, 117, 653, 1959, 5877, 8489, 25467, 76401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76401 is composite. Its prime factorisation is
- 3
The divisors add up to 119028; without 76401 itself that is 42627, so 76401 is deficient (42627 is less than 76401). Euler's totient φ(76401) = 46944 numbers up to 76401 share no factor with it.
- 4
The digits of 76401 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76401 = 3^{2} \times 13 \times 653 \]76401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119028 |
| Euler totient φ(n) | 46944 |
| Square | 5837112801 |
| Cube | 445961255109201 |
| Square root | 276.407308 (= 3√8489) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6401 × |
76401 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and one |
| Binary (base 2) | 10010101001110001 |
| Octal (base 8) | 225161 |
| Hexadecimal (base 16) | 12A71 |
| Base 3 | 10212210200 |
| As time | 76401 seconds = 21 h 13 min 21 s |
Is 76401 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 | Yes (76401 ÷ 3 = 25467) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76401 ÷ 9 = 8489) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76401 a prime number?
No. 76401 = × 13 × 653, so it is divisible by 3.
What are the factors of 76401?
1, 3, 9, 13, 39, 117, 653, 1959, 5877, 8489, 25467, 76401.
What is 76401 in binary?
10010101001110001 (hexadecimal 12A71, octal 225161).
What is the square root of 76401?
About 276.4073, exactly 3√8489.
Is 76401 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 76401?
It is a composite number with 12 divisors.