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The number 74476

74476 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 43 × 433. Divisors (12): 1, 2, 4, 43, 86, 172, 433, 866, 1732, 18619, 37238, 74476.

Number

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How to work it out

  1. 1

    74476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    74476 is composite. Its prime factorisation is

    74476=22×43×43374476 = 2^{2} \times 43 \times 433
  3. 3

    The divisors add up to 133672; without 74476 itself that is 59196, so 74476 is deficient (59196 is less than 74476). Euler's totient φ(74476) = 36288 numbers up to 74476 share no factor with it.

  4. 4

    The digits of 74476 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74476 = 2^{2} \times 43 \times 433 \]

74476 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors133672
Euler totient φ(n)36288
Square5546674576
Cube413094135722176
Square root272.902913 (= 2√18619)
Digit sum / digital root28 / 1
Collatz steps to 194
Scientific notation7.4476 × 10410^{4}

74476 in other forms

FormValue
In wordsseventy-four thousand four hundred and seventy-six
Binary (base 2)10010001011101100
Octal (base 8)221354
Hexadecimal (base 16)122EC
Base 310210011101
As time74476 seconds = 20 h 41 min 16 s

Is 74476 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74476 ÷ 2 = 37238)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.
4Yes (74476 ÷ 4 = 18619)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 4)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 4)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 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74476 a prime number?

No. 74476 = 222^{2} × 43 × 433, so it is divisible by 2.

What are the factors of 74476?

1, 2, 4, 43, 86, 172, 433, 866, 1732, 18619, 37238, 74476.

What is 74476 in binary?

10010001011101100 (hexadecimal 122EC, octal 221354).

What is the square root of 74476?

About 272.9029, exactly 2√18619.

Is 74476 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 74476?

It is a composite number with 12 divisors.

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