The number 76050

Q: Is 76050 a prime number?

No. 76050 = 2 × 3^2 × 5^2 × 13^2, so it is divisible by 2.

76050 is a composite number with 54 divisors. Its prime factorisation is 2 × $3^{2}$ × $5^{2}$ × $13^{2}$ . Divisors (54): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50 … 76050.

Number

Pick any whole number from 1 to 100,000.

76050 = 2 \times 3^{2} \times 5^{2} \times 13^{2}

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How to work it out

1
What is special about 76050: a Harshad number: divisible by its digit sum 18.
2
76050 is composite. Its prime factorisation is
$76050 = 2 \times 3^{2} \times 5^{2} \times 13^{2}$
3
The divisors add up to 221247; without 76050 itself that is 145197, so 76050 is abundant (145197 is more than 76050). Euler's totient φ(76050) = 18720 numbers up to 76050 share no factor with it.
4
The digits of 76050 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 112 steps to reach 1.

LaTeX source of the formulas on this page

\[ 76050 = 2 \times 3^{2} \times 5^{2} \times 13^{2} \]

76050 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	221247
Euler totient φ(n)	18720
Square	5783602500
Cube	439842970125000
Square root	275.771645 (= 195√2)
Digit sum / digital root	18 / 9
Collatz steps to 1	112
Scientific notation	7.605 × $10^{4}$

76050 in other forms

Form	Value
In words	seventy-six thousand and fifty
Binary (base 2)	10010100100010010
Octal (base 8)	224422
Hexadecimal (base 16)	12912
Base 3	10212022200
As time	76050 seconds = 21 h 7 min 30 s

Is 76050 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (76050 ÷ 2 = 38025)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (76050 ÷ 3 = 25350)	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	Yes (76050 ÷ 5 = 15210)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (76050 ÷ 6 = 12675)	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	No (remainder 2)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (76050 ÷ 9 = 8450)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (76050 ÷ 10 = 7605)	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	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76050 a prime number?

No. 76050 = 2 × $3^{2}$ × $5^{2}$ × $13^{2}$ , so it is divisible by 2.

What are the factors of 76050?

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 169, 195, 225, 234, 325, 338, 390, 450, 507, 585, 650, 845, 975, 1014, 1170, 1521, 1690, 1950, 2535, 2925, 3042, 4225, 5070, 5850, 7605, 8450, 12675, 15210, 25350, 38025, 76050.

What is 76050 in binary?

10010100100010010 (hexadecimal 12912, octal 224422).

What is the square root of 76050?

About 275.7716, exactly 195√2.

Is 76050 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 76050?

76050 is a Harshad number: divisible by its digit sum 18.