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The number 7493

7493 is a composite number with 4 divisors. Its prime factorisation is 59 × 127. Divisors (4): 1, 59, 127, 7493.

Number

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How to work it out

  1. 1

    What is special about 7493: a semiprime: 59 × 127, the product of two primes.

  2. 2

    7493 is composite. Its prime factorisation is

    7493=59×1277493 = 59 \times 127
  3. 3

    The divisors add up to 7680; without 7493 itself that is 187, so 7493 is deficient (187 is less than 7493). Euler's totient φ(7493) = 7308 numbers up to 7493 share no factor with it.

  4. 4

    The digits of 7493 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7493 = 59 \times 127 \]

7493 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7680
Euler totient φ(n)7308
Square56145049
Cube420694852157
Square root86.562116
Digit sum / digital root23 / 5
Collatz steps to 188
Scientific notation7.493 × 10310^{3}

7493 in other forms

FormValue
In wordsseven thousand four hundred and ninety-three
Binary (base 2)1110101000101
Octal (base 8)16505
Hexadecimal (base 16)1D45
Base 3101021112
As time7493 seconds = 2 h 4 min 53 s

Is 7493 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 3)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.
7No (remainder 3)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7493 a prime number?

No. 7493 = 59 × 127, so it is divisible by 59.

What are the factors of 7493?

1, 59, 127, 7493.

What is 7493 in binary?

1110101000101 (hexadecimal 1D45, octal 16505).

What is the square root of 7493?

About 86.5621.

Is 7493 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 7493?

7493 is a semiprime: 59 × 127, the product of two primes.

All about 7493

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