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The number 61521

61521 is a composite number with 4 divisors. Its prime factorisation is 3 × 20507. Divisors (4): 1, 3, 20507, 61521.

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How to work it out

  1. 1

    What is special about 61521: a semiprime: 3 × 20507, the product of two primes.

  2. 2

    61521 is composite. Its prime factorisation is

    61521=3×2050761521 = 3 \times 20507
  3. 3

    The divisors add up to 82032; without 61521 itself that is 20511, so 61521 is deficient (20511 is less than 61521). Euler's totient φ(61521) = 41012 numbers up to 61521 share no factor with it.

  4. 4

    The digits of 61521 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61521 = 3 \times 20507 \]

61521 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors82032
Euler totient φ(n)41012
Square3784833441
Cube232846738123761
Square root248.034272
Digit sum / digital root15 / 6
Collatz steps to 160
Scientific notation6.1521 × 10410^{4}

61521 in other forms

FormValue
In wordssixty-one thousand five hundred and twenty-one
Binary (base 2)1111000001010001
Octal (base 8)170121
Hexadecimal (base 16)F051
Base 310010101120
As time61521 seconds = 17 h 5 min 21 s

Is 61521 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).
3Yes (61521 ÷ 3 = 20507)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 6)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61521 a prime number?

No. 61521 = 3 × 20507, so it is divisible by 3.

What are the factors of 61521?

1, 3, 20507, 61521.

What is 61521 in binary?

1111000001010001 (hexadecimal F051, octal 170121).

What is the square root of 61521?

About 248.0343.

Is 61521 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 61521?

61521 is a semiprime: 3 × 20507, the product of two primes.

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