The number 77946
77946 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1181. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1181, 2362, 3543, 7086, 12991, 25982, 38973, 77946.
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How to work it out
- 1
What is special about 77946: a Harshad number: divisible by its digit sum 33.
- 2
77946 is composite. Its prime factorisation is
- 3
The divisors add up to 170208; without 77946 itself that is 92262, so 77946 is abundant (92262 is more than 77946). Euler's totient φ(77946) = 23600 numbers up to 77946 share no factor with it.
- 4
The digits of 77946 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77946 = 2 \times 3 \times 11 \times 1181 \]
77946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 170208 |
| Euler totient φ(n) | 23600 |
| Square | 6075578916 |
| Cube | 473567074186536 |
| Square root | 279.188109 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7946 × |
77946 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and forty-six |
| Binary (base 2) | 10011000001111010 |
| Octal (base 8) | 230172 |
| Hexadecimal (base 16) | 1307A |
| Base 3 | 10221220220 |
| As time | 77946 seconds = 21 h 39 min 6 s |
Is 77946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77946 ÷ 2 = 38973) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77946 ÷ 3 = 25982) | 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 (77946 ÷ 6 = 12991) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 | Yes (77946 ÷ 11 = 7086) | 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 77946 a prime number?
No. 77946 = 2 × 3 × 11 × 1181, so it is divisible by 2.
What are the factors of 77946?
1, 2, 3, 6, 11, 22, 33, 66, 1181, 2362, 3543, 7086, 12991, 25982, 38973, 77946.
What is 77946 in binary?
10011000001111010 (hexadecimal 1307A, octal 230172).
What is the square root of 77946?
About 279.1881.
Is 77946 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77946?
77946 is a Harshad number: divisible by its digit sum 33.