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The number 7145

7145 is a composite number with 4 divisors. Its prime factorisation is 5 × 1429. Divisors (4): 1, 5, 1429, 7145.

Number

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How to work it out

  1. 1

    What is special about 7145: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 1429, the product of two primes.

  2. 2

    7145 is composite. Its prime factorisation is

    7145=5×14297145 = 5 \times 1429
  3. 3

    The divisors add up to 8580; without 7145 itself that is 1435, so 7145 is deficient (1435 is less than 7145). Euler's totient φ(7145) = 5712 numbers up to 7145 share no factor with it.

  4. 4

    The digits of 7145 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7145 = 5 \times 1429 \]

7145 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors8580
Euler totient φ(n)5712
Square51051025
Cube364759573625
Square root84.528102
Digit sum / digital root17 / 8
Collatz steps to 1194
Scientific notation7.145 × 10310^{3}

7145 in other forms

FormValue
In wordsseven thousand one hundred and forty-five
Binary (base 2)1101111101001
Octal (base 8)15751
Hexadecimal (base 16)1BE9
Base 3100210122
As time7145 seconds = 1 h 59 min 5 s

Is 7145 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.
5Yes (7145 ÷ 5 = 1429)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 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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7145 a prime number?

No. 7145 = 5 × 1429, so it is divisible by 5.

What are the factors of 7145?

1, 5, 1429, 7145.

What is 7145 in binary?

1101111101001 (hexadecimal 1BE9, octal 15751).

What is the square root of 7145?

About 84.5281.

Is 7145 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 7145?

7145 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 1429, the product of two primes.

All about 7145

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