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The number 32501

32501 is a composite number with 4 divisors. Its prime factorisation is 7 × 4643. Divisors (4): 1, 7, 4643, 32501.

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How to work it out

  1. 1

    What is special about 32501: a semiprime: 7 × 4643, the product of two primes.

  2. 2

    32501 is composite. Its prime factorisation is

    32501=7×464332501 = 7 \times 4643
  3. 3

    The divisors add up to 37152; without 32501 itself that is 4651, so 32501 is deficient (4651 is less than 32501). Euler's totient φ(32501) = 27852 numbers up to 32501 share no factor with it.

  4. 4

    The digits of 32501 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 32501 = 7 \times 4643 \]

32501 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors37152
Euler totient φ(n)27852
Square1056315001
Cube34331293847501
Square root180.280337
Digit sum / digital root11 / 2
Collatz steps to 167
Scientific notation3.2501 × 10410^{4}

32501 in other forms

FormValue
In wordsthirty-two thousand five hundred and one
Binary (base 2)111111011110101
Octal (base 8)77365
Hexadecimal (base 16)7EF5
Base 31122120202
As time32501 seconds = 9 h 1 min 41 s

Is 32501 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (32501 ÷ 7 = 4643)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 2)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 32501 a prime number?

No. 32501 = 7 × 4643, so it is divisible by 7.

What are the factors of 32501?

1, 7, 4643, 32501.

What is 32501 in binary?

111111011110101 (hexadecimal 7EF5, octal 77365).

What is the square root of 32501?

About 180.2803.

Is 32501 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 32501?

32501 is a semiprime: 7 × 4643, the product of two primes.

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