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The number 97521

97521 is a composite number with 4 divisors. Its prime factorisation is 3 × 32507. Divisors (4): 1, 3, 32507, 97521.

Number

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How to work it out

  1. 1

    What is special about 97521: a semiprime: 3 × 32507, the product of two primes.

  2. 2

    97521 is composite. Its prime factorisation is

    97521=3×3250797521 = 3 \times 32507
  3. 3

    The divisors add up to 130032; without 97521 itself that is 32511, so 97521 is deficient (32511 is less than 97521). Euler's totient φ(97521) = 65012 numbers up to 97521 share no factor with it.

  4. 4

    The digits of 97521 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97521 = 3 \times 32507 \]

97521 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors130032
Euler totient φ(n)65012
Square9510345441
Cube927458397751761
Square root312.283525
Digit sum / digital root24 / 6
Collatz steps to 166
Scientific notation9.7521 × 10410^{4}

97521 in other forms

FormValue
In wordsninety-seven thousand five hundred and twenty-one
Binary (base 2)10111110011110001
Octal (base 8)276361
Hexadecimal (base 16)17CF1
Base 311221202220
As time97521 seconds = 27 h 5 min 21 s

Is 97521 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 (97521 ÷ 3 = 32507)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 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 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 6)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 97521 a prime number?

No. 97521 = 3 × 32507, so it is divisible by 3.

What are the factors of 97521?

1, 3, 32507, 97521.

What is 97521 in binary?

10111110011110001 (hexadecimal 17CF1, octal 276361).

What is the square root of 97521?

About 312.2835.

Is 97521 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 97521?

97521 is a semiprime: 3 × 32507, the product of two primes.

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