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The number 94072

94072 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 11 × 1069. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 1069, 2138, 4276, 8552, 11759, 23518, 47036, 94072.

Number

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How to work it out

  1. 1

    What is special about 94072: a Harshad number: divisible by its digit sum 22.

  2. 2

    94072 is composite. Its prime factorisation is

    94072=23×11×106994072 = 2^{3} \times 11 \times 1069
  3. 3

    The divisors add up to 192600; without 94072 itself that is 98528, so 94072 is abundant (98528 is more than 94072). Euler's totient φ(94072) = 42720 numbers up to 94072 share no factor with it.

  4. 4

    The digits of 94072 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 84 steps to reach 1.

LaTeX source of the formulas on this page
\[ 94072 = 2^{3} \times 11 \times 1069 \]

94072 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors192600
Euler totient φ(n)42720
Square8849541184
Cube832494038261248
Square root306.711591 (= 2√23518)
Digit sum / digital root22 / 4
Collatz steps to 184
Scientific notation9.4072 × 10410^{4}

94072 in other forms

FormValue
In wordsninety-four thousand and seventy-two
Binary (base 2)10110111101111000
Octal (base 8)267570
Hexadecimal (base 16)16F78
Base 311210001011
As time94072 seconds = 26 h 7 min 52 s

Is 94072 divisible by 2 to 12?

DivisorAnswerRule
2Yes (94072 ÷ 2 = 47036)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 (94072 ÷ 4 = 23518)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (94072 ÷ 8 = 11759)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 2)A number is divisible by 10 if the last digit is 0.
11Yes (94072 ÷ 11 = 8552)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 94072 a prime number?

No. 94072 = 232^{3} × 11 × 1069, so it is divisible by 2.

What are the factors of 94072?

1, 2, 4, 8, 11, 22, 44, 88, 1069, 2138, 4276, 8552, 11759, 23518, 47036, 94072.

What is 94072 in binary?

10110111101111000 (hexadecimal 16F78, octal 267570).

What is the square root of 94072?

About 306.7116, exactly 2√23518.

Is 94072 divisible by 3?

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

What is special about the number 94072?

94072 is a Harshad number: divisible by its digit sum 22.

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