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The number 61337

61337 is a composite number with 4 divisors. Its prime factorisation is 83 × 739. Divisors (4): 1, 83, 739, 61337.

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How to work it out

  1. 1

    What is special about 61337: a semiprime: 83 × 739, the product of two primes.

  2. 2

    61337 is composite. Its prime factorisation is

    61337=83×73961337 = 83 \times 739
  3. 3

    The divisors add up to 62160; without 61337 itself that is 823, so 61337 is deficient (823 is less than 61337). Euler's totient φ(61337) = 60516 numbers up to 61337 share no factor with it.

  4. 4

    The digits of 61337 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61337 = 83 \times 739 \]

61337 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors62160
Euler totient φ(n)60516
Square3762227569
Cube230763752399753
Square root247.663078
Digit sum / digital root20 / 2
Collatz steps to 160
Scientific notation6.1337 × 10410^{4}

61337 in other forms

FormValue
In wordssixty-one thousand three hundred and thirty-seven
Binary (base 2)1110111110011001
Octal (base 8)167631
Hexadecimal (base 16)EF99
Base 310010010202
As time61337 seconds = 17 h 2 min 17 s

Is 61337 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61337 a prime number?

No. 61337 = 83 × 739, so it is divisible by 83.

What are the factors of 61337?

1, 83, 739, 61337.

What is 61337 in binary?

1110111110011001 (hexadecimal EF99, octal 167631).

What is the square root of 61337?

About 247.6631.

Is 61337 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 61337?

61337 is a semiprime: 83 × 739, the product of two primes.

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