The number 80376
80376 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 197. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 197, 204 … 80376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80376: a Harshad number: divisible by its digit sum 24.
- 2
80376 is composite. Its prime factorisation is
- 3
The divisors add up to 213840; without 80376 itself that is 133464, so 80376 is abundant (133464 is more than 80376). Euler's totient φ(80376) = 25088 numbers up to 80376 share no factor with it.
- 4
The digits of 80376 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80376 = 2^{3} \times 3 \times 17 \times 197 \]80376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 213840 |
| Euler totient φ(n) | 25088 |
| Square | 6460301376 |
| Cube | 519253183397376 |
| Square root | 283.506614 (= 2√20094) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0376 × |
80376 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and seventy-six |
| Binary (base 2) | 10011100111111000 |
| Octal (base 8) | 234770 |
| Hexadecimal (base 16) | 139F8 |
| Base 3 | 11002020220 |
| As time | 80376 seconds = 22 h 19 min 36 s |
Is 80376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80376 ÷ 2 = 40188) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80376 ÷ 3 = 26792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80376 ÷ 4 = 20094) | 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 (80376 ÷ 6 = 13396) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (80376 ÷ 8 = 10047) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80376 ÷ 12 = 6698) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80376 a prime number?
No. 80376 = × 3 × 17 × 197, so it is divisible by 2.
What are the factors of 80376?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 197, 204, 394, 408, 591, 788, 1182, 1576, 2364, 3349, 4728, 6698, 10047, 13396, 20094, 26792, 40188, 80376.
What is 80376 in binary?
10011100111111000 (hexadecimal 139F8, octal 234770).
What is the square root of 80376?
About 283.5066, exactly 2√20094.
Is 80376 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80376?
80376 is a Harshad number: divisible by its digit sum 24.