The number 76380

Q: Is 76380 a prime number?

No. 76380 = 2^2 × 3 × 5 × 19 × 67, so it is divisible by 2.

76380 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 19 × 67. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 67 … 76380.

Number

Pick any whole number from 1 to 100,000.

76380 = 2^{2} \times 3 \times 5 \times 19 \times 67

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How to work it out

1
76380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
76380 is composite. Its prime factorisation is
$76380 = 2^{2} \times 3 \times 5 \times 19 \times 67$
3
The divisors add up to 228480; without 76380 itself that is 152100, so 76380 is abundant (152100 is more than 76380). Euler's totient φ(76380) = 19008 numbers up to 76380 share no factor with it.
4
The digits of 76380 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 107 steps to reach 1.

LaTeX source of the formulas on this page

\[ 76380 = 2^{2} \times 3 \times 5 \times 19 \times 67 \]

76380 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	228480
Euler totient φ(n)	19008
Square	5833904400
Cube	445593618072000
Square root	276.369318 (= 2√19095)
Digit sum / digital root	24 / 6
Collatz steps to 1	107
Scientific notation	7.638 × $10^{4}$

76380 in other forms

Form	Value
In words	seventy-six thousand three hundred and eighty
Binary (base 2)	10010101001011100
Octal (base 8)	225134
Hexadecimal (base 16)	12A5C
Base 3	10212202220
As time	76380 seconds = 21 h 13 min 0 s

Is 76380 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (76380 ÷ 2 = 38190)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (76380 ÷ 3 = 25460)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (76380 ÷ 4 = 19095)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (76380 ÷ 5 = 15276)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (76380 ÷ 6 = 12730)	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 4)	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	Yes (76380 ÷ 10 = 7638)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (76380 ÷ 12 = 6365)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76380 a prime number?

No. 76380 = $2^{2}$ × 3 × 5 × 19 × 67, so it is divisible by 2.

What are the factors of 76380?

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 67, 76, 95, 114, 134, 190, 201, 228, 268, 285, 335, 380, 402, 570, 670, 804, 1005, 1140, 1273, 1340, 2010, 2546, 3819, 4020, 5092, 6365, 7638, 12730, 15276, 19095, 25460, 38190, 76380.

What is 76380 in binary?

10010101001011100 (hexadecimal 12A5C, octal 225134).

What is the square root of 76380?

About 276.3693, exactly 2√19095.

Is 76380 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 76380?

It is a composite number with 48 divisors.