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The number 58422

58422 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 13 × 107. Divisors (32): 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 107, 182, 214 … 58422.

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How to work it out

  1. 1

    What is special about 58422: a Harshad number: divisible by its digit sum 21.

  2. 2

    58422 is composite. Its prime factorisation is

    58422=2×3×7×13×10758422 = 2 \times 3 \times 7 \times 13 \times 107
  3. 3

    The divisors add up to 145152; without 58422 itself that is 86730, so 58422 is abundant (86730 is more than 58422). Euler's totient φ(58422) = 15264 numbers up to 58422 share no factor with it.

  4. 4

    The digits of 58422 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 228 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58422 = 2 \times 3 \times 7 \times 13 \times 107 \]

58422 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors145152
Euler totient φ(n)15264
Square3413130084
Cube199401885767448
Square root241.706434
Digit sum / digital root21 / 3
Collatz steps to 1228
Scientific notation5.8422 × 10410^{4}

58422 in other forms

FormValue
In wordsfifty-eight thousand four hundred and twenty-two
Binary (base 2)1110010000110110
Octal (base 8)162066
Hexadecimal (base 16)E436
Base 32222010210
As time58422 seconds = 16 h 13 min 42 s

Is 58422 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58422 ÷ 2 = 29211)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (58422 ÷ 3 = 19474)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (58422 ÷ 6 = 9737)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (58422 ÷ 7 = 8346)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58422 a prime number?

No. 58422 = 2 × 3 × 7 × 13 × 107, so it is divisible by 2.

What are the factors of 58422?

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 107, 182, 214, 273, 321, 546, 642, 749, 1391, 1498, 2247, 2782, 4173, 4494, 8346, 9737, 19474, 29211, 58422.

What is 58422 in binary?

1110010000110110 (hexadecimal E436, octal 162066).

What is the square root of 58422?

About 241.7064.

Is 58422 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 58422?

58422 is a Harshad number: divisible by its digit sum 21.

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