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The number 74407

74407 is a composite number with 4 divisors. Its prime factorisation is 37 × 2011. Divisors (4): 1, 37, 2011, 74407.

Number

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How to work it out

  1. 1

    What is special about 74407: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 2011, the product of two primes.

  2. 2

    74407 is composite. Its prime factorisation is

    74407=37×201174407 = 37 \times 2011
  3. 3

    The divisors add up to 76456; without 74407 itself that is 2049, so 74407 is deficient (2049 is less than 74407). Euler's totient φ(74407) = 72360 numbers up to 74407 share no factor with it.

  4. 4

    The digits of 74407 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74407 = 37 \times 2011 \]

74407 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors76456
Euler totient φ(n)72360
Square5536401649
Cube411947037497143
Square root272.776465
Digit sum / digital root22 / 4
Collatz steps to 1138
Scientific notation7.4407 × 10410^{4}

74407 in other forms

FormValue
In wordsseventy-four thousand four hundred and seven
Binary (base 2)10010001010100111
Octal (base 8)221247
Hexadecimal (base 16)122A7
Base 310210001211
As time74407 seconds = 20 h 40 min 7 s

Is 74407 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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.
7No (remainder 4)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74407 a prime number?

No. 74407 = 37 × 2011, so it is divisible by 37.

What are the factors of 74407?

1, 37, 2011, 74407.

What is 74407 in binary?

10010001010100111 (hexadecimal 122A7, octal 221247).

What is the square root of 74407?

About 272.7765.

Is 74407 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 74407?

74407 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 2011, the product of two primes.

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    74407: is it prime? Factors, square root, binary, Roman numeral | WordGPT