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The number 53121

53121 is a composite number with 4 divisors. Its prime factorisation is 3 × 17707. Divisors (4): 1, 3, 17707, 53121.

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How to work it out

  1. 1

    What is special about 53121: a semiprime: 3 × 17707, the product of two primes.

  2. 2

    53121 is composite. Its prime factorisation is

    53121=3×1770753121 = 3 \times 17707
  3. 3

    The divisors add up to 70832; without 53121 itself that is 17711, so 53121 is deficient (17711 is less than 53121). Euler's totient φ(53121) = 35412 numbers up to 53121 share no factor with it.

  4. 4

    The digits of 53121 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 171 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53121 = 3 \times 17707 \]

53121 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors70832
Euler totient φ(n)35412
Square2821840641
Cube149898996690561
Square root230.479934
Digit sum / digital root12 / 3
Collatz steps to 1171
Scientific notation5.3121 × 10410^{4}

53121 in other forms

FormValue
In wordsfifty-three thousand one hundred and twenty-one
Binary (base 2)1100111110000001
Octal (base 8)147601
Hexadecimal (base 16)CF81
Base 32200212110
As time53121 seconds = 14 h 45 min 21 s

Is 53121 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (53121 ÷ 3 = 17707)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53121 a prime number?

No. 53121 = 3 × 17707, so it is divisible by 3.

What are the factors of 53121?

1, 3, 17707, 53121.

What is 53121 in binary?

1100111110000001 (hexadecimal CF81, octal 147601).

What is the square root of 53121?

About 230.4799.

Is 53121 divisible by 3?

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

What is special about the number 53121?

53121 is a semiprime: 3 × 17707, the product of two primes.

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