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The number 74421

74421 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 8269. Divisors (6): 1, 3, 9, 8269, 24807, 74421.

Number

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How to work it out

  1. 1

    What is special about 74421: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74421 is composite. Its prime factorisation is

    74421=32×826974421 = 3^{2} \times 8269
  3. 3

    The divisors add up to 107510; without 74421 itself that is 33089, so 74421 is deficient (33089 is less than 74421). Euler's totient φ(74421) = 49608 numbers up to 74421 share no factor with it.

  4. 4

    The digits of 74421 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74421 = 3^{2} \times 8269 \]

74421 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors107510
Euler totient φ(n)49608
Square5538485241
Cube412179610120461
Square root272.802126 (= 3√8269)
Digit sum / digital root18 / 9
Collatz steps to 137
Scientific notation7.4421 × 10410^{4}

74421 in other forms

FormValue
In wordsseventy-four thousand four hundred and twenty-one
Binary (base 2)10010001010110101
Octal (base 8)221265
Hexadecimal (base 16)122B5
Base 310210002100
As time74421 seconds = 20 h 40 min 21 s

Is 74421 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).
3Yes (74421 ÷ 3 = 24807)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (74421 ÷ 9 = 8269)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74421 a prime number?

No. 74421 = 323^{2} × 8269, so it is divisible by 3.

What are the factors of 74421?

1, 3, 9, 8269, 24807, 74421.

What is 74421 in binary?

10010001010110101 (hexadecimal 122B5, octal 221265).

What is the square root of 74421?

About 272.8021, exactly 3√8269.

Is 74421 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 74421?

74421 is a happy number: repeatedly adding the squares of its digits reaches 1.

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