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The number 61996

61996 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 11 × 1409. Divisors (12): 1, 2, 4, 11, 22, 44, 1409, 2818, 5636, 15499, 30998, 61996.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    61996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    61996 is composite. Its prime factorisation is

    61996=22×11×140961996 = 2^{2} \times 11 \times 1409
  3. 3

    The divisors add up to 118440; without 61996 itself that is 56444, so 61996 is deficient (56444 is less than 61996). Euler's totient φ(61996) = 28160 numbers up to 61996 share no factor with it.

  4. 4

    The digits of 61996 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61996 = 2^{2} \times 11 \times 1409 \]

61996 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors118440
Euler totient φ(n)28160
Square3843504016
Cube238281874975936
Square root248.989960 (= 2√15499)
Digit sum / digital root31 / 4
Collatz steps to 1179
Scientific notation6.1996 × 10410^{4}

61996 in other forms

FormValue
In wordssixty-one thousand nine hundred and ninety-six
Binary (base 2)1111001000101100
Octal (base 8)171054
Hexadecimal (base 16)F22C
Base 310011001011
As time61996 seconds = 17 h 13 min 16 s

Is 61996 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61996 ÷ 2 = 30998)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.
4Yes (61996 ÷ 4 = 15499)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11Yes (61996 ÷ 11 = 5636)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61996 a prime number?

No. 61996 = 222^{2} × 11 × 1409, so it is divisible by 2.

What are the factors of 61996?

1, 2, 4, 11, 22, 44, 1409, 2818, 5636, 15499, 30998, 61996.

What is 61996 in binary?

1111001000101100 (hexadecimal F22C, octal 171054).

What is the square root of 61996?

About 248.9900, exactly 2√15499.

Is 61996 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 61996?

It is a composite number with 12 divisors.

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    61996: is it prime? Factors, square root, binary, Roman numeral | WordGPT