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The number 53137

53137 is a composite number with 4 divisors. Its prime factorisation is 7 × 7591. Divisors (4): 1, 7, 7591, 53137.

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How to work it out

  1. 1

    What is special about 53137: a semiprime: 7 × 7591, the product of two primes.

  2. 2

    53137 is composite. Its prime factorisation is

    53137=7×759153137 = 7 \times 7591
  3. 3

    The divisors add up to 60736; without 53137 itself that is 7599, so 53137 is deficient (7599 is less than 53137). Euler's totient φ(53137) = 45540 numbers up to 53137 share no factor with it.

  4. 4

    The digits of 53137 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53137 = 7 \times 7591 \]

53137 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors60736
Euler totient φ(n)45540
Square2823540769
Cube150034485842353
Square root230.514642
Digit sum / digital root19 / 1
Collatz steps to 178
Scientific notation5.3137 × 10410^{4}

53137 in other forms

FormValue
In wordsfifty-three thousand one hundred and thirty-seven
Binary (base 2)1100111110010001
Octal (base 8)147621
Hexadecimal (base 16)CF91
Base 32200220001
As time53137 seconds = 14 h 45 min 37 s

Is 53137 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).
3No (remainder 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (53137 ÷ 7 = 7591)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53137 a prime number?

No. 53137 = 7 × 7591, so it is divisible by 7.

What are the factors of 53137?

1, 7, 7591, 53137.

What is 53137 in binary?

1100111110010001 (hexadecimal CF91, octal 147621).

What is the square root of 53137?

About 230.5146.

Is 53137 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 53137?

53137 is a semiprime: 7 × 7591, the product of two primes.

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