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The number 74006

74006 is a composite number with 4 divisors. Its prime factorisation is 2 × 37003. Divisors (4): 1, 2, 37003, 74006.

Number

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How to work it out

  1. 1

    What is special about 74006: a semiprime: 2 × 37003, the product of two primes.

  2. 2

    74006 is composite. Its prime factorisation is

    74006=2×3700374006 = 2 \times 37003
  3. 3

    The divisors add up to 111012; without 74006 itself that is 37006, so 74006 is deficient (37006 is less than 74006). Euler's totient φ(74006) = 37002 numbers up to 74006 share no factor with it.

  4. 4

    The digits of 74006 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 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74006 = 2 \times 37003 \]

74006 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors111012
Euler totient φ(n)37002
Square5476888036
Cube405322575992216
Square root272.040438
Digit sum / digital root17 / 8
Collatz steps to 1117
Scientific notation7.4006 × 10410^{4}

74006 in other forms

FormValue
In wordsseventy-four thousand and six
Binary (base 2)10010000100010110
Octal (base 8)220426
Hexadecimal (base 16)12116
Base 310202111222
As time74006 seconds = 20 h 33 min 26 s

Is 74006 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74006 ÷ 2 = 37003)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 2)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 6)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74006 a prime number?

No. 74006 = 2 × 37003, so it is divisible by 2.

What are the factors of 74006?

1, 2, 37003, 74006.

What is 74006 in binary?

10010000100010110 (hexadecimal 12116, octal 220426).

What is the square root of 74006?

About 272.0404.

Is 74006 divisible by 3?

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

What is special about the number 74006?

74006 is a semiprime: 2 × 37003, the product of two primes.

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