The number 76398
76398 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 107. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 107, 119, 214, 238 … 76398.
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How to work it out
- 1
What is special about 76398: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76398 is composite. Its prime factorisation is
- 3
The divisors add up to 186624; without 76398 itself that is 110226, so 76398 is abundant (110226 is more than 76398). Euler's totient φ(76398) = 20352 numbers up to 76398 share no factor with it.
- 4
The digits of 76398 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76398 = 2 \times 3 \times 7 \times 17 \times 107 \]
76398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 186624 |
| Euler totient φ(n) | 20352 |
| Square | 5836654404 |
| Cube | 445908723156792 |
| Square root | 276.401881 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.6398 × |
76398 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and ninety-eight |
| Binary (base 2) | 10010101001101110 |
| Octal (base 8) | 225156 |
| Hexadecimal (base 16) | 12A6E |
| Base 3 | 10212210120 |
| As time | 76398 seconds = 21 h 13 min 18 s |
Is 76398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76398 ÷ 2 = 38199) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76398 ÷ 3 = 25466) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76398 ÷ 6 = 12733) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76398 ÷ 7 = 10914) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 76398 a prime number?
No. 76398 = 2 × 3 × 7 × 17 × 107, so it is divisible by 2.
What are the factors of 76398?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 107, 119, 214, 238, 321, 357, 642, 714, 749, 1498, 1819, 2247, 3638, 4494, 5457, 10914, 12733, 25466, 38199, 76398.
What is 76398 in binary?
10010101001101110 (hexadecimal 12A6E, octal 225156).
What is the square root of 76398?
About 276.4019.
Is 76398 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 76398?
76398 is a happy number: repeatedly adding the squares of its digits reaches 1.