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The number 58450

58450 is a composite number with 24 divisors. Its prime factorisation is 2 × 525^{2} × 7 × 167. Divisors (24): 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 167, 175, 334, 350, 835, 1169 … 58450.

Number

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How to work it out

  1. 1

    What is special about 58450: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    58450 is composite. Its prime factorisation is

    58450=2×52×7×16758450 = 2 \times 5^{2} \times 7 \times 167
  3. 3

    The divisors add up to 124992; without 58450 itself that is 66542, so 58450 is abundant (66542 is more than 58450). Euler's totient φ(58450) = 19920 numbers up to 58450 share no factor with it.

  4. 4

    The digits of 58450 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 197 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58450 = 2 \times 5^{2} \times 7 \times 167 \]

58450 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors124992
Euler totient φ(n)19920
Square3416402500
Cube199688726125000
Square root241.764348 (= 5√2338)
Digit sum / digital root22 / 4
Collatz steps to 1197
Scientific notation5.845 × 10410^{4}

58450 in other forms

FormValue
In wordsfifty-eight thousand four hundred and fifty
Binary (base 2)1110010001010010
Octal (base 8)162122
Hexadecimal (base 16)E452
Base 32222011211
As time58450 seconds = 16 h 14 min 10 s

Is 58450 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58450 ÷ 2 = 29225)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (58450 ÷ 5 = 11690)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.
7Yes (58450 ÷ 7 = 8350)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 2)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.
10Yes (58450 ÷ 10 = 5845)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58450 a prime number?

No. 58450 = 2 × 525^{2} × 7 × 167, so it is divisible by 2.

What are the factors of 58450?

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 167, 175, 334, 350, 835, 1169, 1670, 2338, 4175, 5845, 8350, 11690, 29225, 58450.

What is 58450 in binary?

1110010001010010 (hexadecimal E452, octal 162122).

What is the square root of 58450?

About 241.7643, exactly 5√2338.

Is 58450 divisible by 3?

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

What is special about the number 58450?

58450 is a happy number: repeatedly adding the squares of its digits reaches 1.

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