The number 50700

Q: Is 50700 a prime number?

No. 50700 = 2^2 × 3 × 5^2 × 13^2, so it is divisible by 2.

50700 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × 3 × $5^{2}$ × $13^{2}$ . Divisors (54): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50 … 50700.

Number

Pick any whole number from 1 to 100,000.

50700 = 2^{2} \times 3 \times 5^{2} \times 13^{2}

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How to work it out

1
What is special about 50700: a Harshad number: divisible by its digit sum 12.
2
50700 is composite. Its prime factorisation is
$50700 = 2^{2} \times 3 \times 5^{2} \times 13^{2}$
3
The divisors add up to 158844; without 50700 itself that is 108144, so 50700 is abundant (108144 is more than 50700). Euler's totient φ(50700) = 12480 numbers up to 50700 share no factor with it.
4
The digits of 50700 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page

\[ 50700 = 2^{2} \times 3 \times 5^{2} \times 13^{2} \]

50700 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	158844
Euler totient φ(n)	12480
Square	2570490000
Cube	130323843000000
Square root	225.166605 (= 130√3)
Digit sum / digital root	12 / 3
Collatz steps to 1	57
Scientific notation	5.07 × $10^{4}$

50700 in other forms

Form	Value
In words	fifty thousand seven hundred
Binary (base 2)	1100011000001100
Octal (base 8)	143014
Hexadecimal (base 16)	C60C
Base 3	2120112210
As time	50700 seconds = 14 h 5 min 0 s

Is 50700 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (50700 ÷ 2 = 25350)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (50700 ÷ 3 = 16900)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (50700 ÷ 4 = 12675)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (50700 ÷ 5 = 10140)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (50700 ÷ 6 = 8450)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (50700 ÷ 10 = 5070)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (50700 ÷ 12 = 4225)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50700 a prime number?

No. 50700 = $2^{2}$ × 3 × $5^{2}$ × $13^{2}$ , so it is divisible by 2.

What are the factors of 50700?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 169, 195, 260, 300, 325, 338, 390, 507, 650, 676, 780, 845, 975, 1014, 1300, 1690, 1950, 2028, 2535, 3380, 3900, 4225, 5070, 8450, 10140, 12675, 16900, 25350, 50700.

What is 50700 in binary?

1100011000001100 (hexadecimal C60C, octal 143014).

What is the square root of 50700?

About 225.1666, exactly 130√3.

Is 50700 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 50700?

50700 is a Harshad number: divisible by its digit sum 12.