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The number 61309

61309 is a composite number with 4 divisors. Its prime factorisation is 37 × 1657. Divisors (4): 1, 37, 1657, 61309.

Number

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How to work it out

  1. 1

    What is special about 61309: a semiprime: 37 × 1657, the product of two primes.

  2. 2

    61309 is composite. Its prime factorisation is

    61309=37×165761309 = 37 \times 1657
  3. 3

    The divisors add up to 63004; without 61309 itself that is 1695, so 61309 is deficient (1695 is less than 61309). Euler's totient φ(61309) = 59616 numbers up to 61309 share no factor with it.

  4. 4

    The digits of 61309 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61309 = 37 \times 1657 \]

61309 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors63004
Euler totient φ(n)59616
Square3758793481
Cube230447869526629
Square root247.606543
Digit sum / digital root19 / 1
Collatz steps to 191
Scientific notation6.1309 × 10410^{4}

61309 in other forms

FormValue
In wordssixty-one thousand three hundred and nine
Binary (base 2)1110111101111101
Octal (base 8)167575
Hexadecimal (base 16)EF7D
Base 310010002201
As time61309 seconds = 17 h 1 min 49 s

Is 61309 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 4)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.
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 5)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 61309 a prime number?

No. 61309 = 37 × 1657, so it is divisible by 37.

What are the factors of 61309?

1, 37, 1657, 61309.

What is 61309 in binary?

1110111101111101 (hexadecimal EF7D, octal 167575).

What is the square root of 61309?

About 247.6065.

Is 61309 divisible by 3?

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

What is special about the number 61309?

61309 is a semiprime: 37 × 1657, the product of two primes.

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    61309: is it prime? Factors, square root, binary, Roman numeral | WordGPT