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The number 61921

61921 is a composite number with 4 divisors. Its prime factorisation is 19 × 3259. Divisors (4): 1, 19, 3259, 61921.

Number

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How to work it out

  1. 1

    What is special about 61921: a Harshad number: divisible by its digit sum 19; a semiprime: 19 × 3259, the product of two primes.

  2. 2

    61921 is composite. Its prime factorisation is

    61921=19×325961921 = 19 \times 3259
  3. 3

    The divisors add up to 65200; without 61921 itself that is 3279, so 61921 is deficient (3279 is less than 61921). Euler's totient φ(61921) = 58644 numbers up to 61921 share no factor with it.

  4. 4

    The digits of 61921 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 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61921 = 19 \times 3259 \]

61921 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors65200
Euler totient φ(n)58644
Square3834210241
Cube237418132332961
Square root248.839306
Digit sum / digital root19 / 1
Collatz steps to 1179
Scientific notation6.1921 × 10410^{4}

61921 in other forms

FormValue
In wordssixty-one thousand nine hundred and twenty-one
Binary (base 2)1111000111100001
Octal (base 8)170741
Hexadecimal (base 16)F1E1
Base 310010221101
As time61921 seconds = 17 h 12 min 1 s

Is 61921 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 1)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 6)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 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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61921 a prime number?

No. 61921 = 19 × 3259, so it is divisible by 19.

What are the factors of 61921?

1, 19, 3259, 61921.

What is 61921 in binary?

1111000111100001 (hexadecimal F1E1, octal 170741).

What is the square root of 61921?

About 248.8393.

Is 61921 divisible by 3?

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

What is special about the number 61921?

61921 is a Harshad number: divisible by its digit sum 19; a semiprime: 19 × 3259, the product of two primes.

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