The number 53900

Q: Is 53900 a prime number?

No. 53900 = 2^2 × 5^2 × 7^2 × 11, so it is divisible by 2.

53900 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × $7^{2}$ × 11. Divisors (54): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 49, 50 … 53900.

Number

Pick any whole number from 1 to 100,000.

53900 = 2^{2} \times 5^{2} \times 7^{2} \times 11

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How to work it out

1
53900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
53900 is composite. Its prime factorisation is
$53900 = 2^{2} \times 5^{2} \times 7^{2} \times 11$
3
The divisors add up to 148428; without 53900 itself that is 94528, so 53900 is abundant (94528 is more than 53900). Euler's totient φ(53900) = 16800 numbers up to 53900 share no factor with it.
4
The digits of 53900 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page

\[ 53900 = 2^{2} \times 5^{2} \times 7^{2} \times 11 \]

53900 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	148428
Euler totient φ(n)	16800
Square	2905210000
Cube	156590819000000
Square root	232.163735 (= 70√11)
Digit sum / digital root	17 / 8
Collatz steps to 1	184
Scientific notation	5.39 × $10^{4}$

53900 in other forms

Form	Value
In words	fifty-three thousand nine hundred
Binary (base 2)	1101001010001100
Octal (base 8)	151214
Hexadecimal (base 16)	D28C
Base 3	2201221022
As time	53900 seconds = 14 h 58 min 20 s

Is 53900 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (53900 ÷ 2 = 26950)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (53900 ÷ 4 = 13475)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (53900 ÷ 5 = 10780)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (53900 ÷ 7 = 7700)	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 8)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (53900 ÷ 10 = 5390)	A number is divisible by 10 if the last digit is 0.
11	Yes (53900 ÷ 11 = 4900)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53900 a prime number?

No. 53900 = $2^{2}$ × $5^{2}$ × $7^{2}$ × 11, so it is divisible by 2.

What are the factors of 53900?

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 49, 50, 55, 70, 77, 98, 100, 110, 140, 154, 175, 196, 220, 245, 275, 308, 350, 385, 490, 539, 550, 700, 770, 980, 1078, 1100, 1225, 1540, 1925, 2156, 2450, 2695, 3850, 4900, 5390, 7700, 10780, 13475, 26950, 53900.

What is 53900 in binary?

1101001010001100 (hexadecimal D28C, octal 151214).

What is the square root of 53900?

About 232.1637, exactly 70√11.

Is 53900 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 53900?

It is a composite number with 54 divisors.