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The number 4501

4501 is a composite number with 4 divisors. Its prime factorisation is 7 × 643. Divisors (4): 1, 7, 643, 4501.

Number

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How to work it out

  1. 1

    What is special about 4501: a semiprime: 7 × 643, the product of two primes.

  2. 2

    4501 is composite. Its prime factorisation is

    4501=7×6434501 = 7 \times 643
  3. 3

    The divisors add up to 5152; without 4501 itself that is 651, so 4501 is deficient (651 is less than 4501). Euler's totient φ(4501) = 3852 numbers up to 4501 share no factor with it.

  4. 4

    The digits of 4501 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4501 = 7 \times 643 \]

4501 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5152
Euler totient φ(n)3852
Square20259001
Cube91185763501
Square root67.089492
Digit sum / digital root10 / 1
Collatz steps to 146
Scientific notation4.501 × 10310^{3}

4501 in other forms

FormValue
In wordsfour thousand five hundred and one
Binary (base 2)1000110010101
Octal (base 8)10625
Hexadecimal (base 16)1195
Base 320011201
As time4501 seconds = 1 h 15 min 1 s

Is 4501 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.
7Yes (4501 ÷ 7 = 643)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 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 4501 a prime number?

No. 4501 = 7 × 643, so it is divisible by 7.

What are the factors of 4501?

1, 7, 643, 4501.

What is 4501 in binary?

1000110010101 (hexadecimal 1195, octal 10625).

What is the square root of 4501?

About 67.0895.

Is 4501 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 4501?

4501 is a semiprime: 7 × 643, the product of two primes.

All about 4501

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