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The number 30472

30472 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 13 × 293. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 293, 586, 1172, 2344, 3809, 7618, 15236, 30472.

Number

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How to work it out

  1. 1

    30472 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

    30472 is composite. Its prime factorisation is

    30472=23×13×29330472 = 2^{3} \times 13 \times 293
  3. 3

    The divisors add up to 61740; without 30472 itself that is 31268, so 30472 is abundant (31268 is more than 30472). Euler's totient φ(30472) = 14016 numbers up to 30472 share no factor with it.

  4. 4

    The digits of 30472 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.

LaTeX source of the formulas on this page
\[ 30472 = 2^{3} \times 13 \times 293 \]

30472 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors61740
Euler totient φ(n)14016
Square928542784
Cube28294555714048
Square root174.562310 (= 2√7618)
Digit sum / digital root16 / 7
Collatz steps to 1178
Scientific notation3.0472 × 10410^{4}

30472 in other forms

FormValue
In wordsthirty thousand four hundred and seventy-two
Binary (base 2)111011100001000
Octal (base 8)73410
Hexadecimal (base 16)7708
Base 31112210121
As time30472 seconds = 8 h 27 min 52 s

Is 30472 divisible by 2 to 12?

DivisorAnswerRule
2Yes (30472 ÷ 2 = 15236)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 (30472 ÷ 4 = 7618)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 1)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 (30472 ÷ 8 = 3809)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 2)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 30472 a prime number?

No. 30472 = 232^{3} × 13 × 293, so it is divisible by 2.

What are the factors of 30472?

1, 2, 4, 8, 13, 26, 52, 104, 293, 586, 1172, 2344, 3809, 7618, 15236, 30472.

What is 30472 in binary?

111011100001000 (hexadecimal 7708, octal 73410).

What is the square root of 30472?

About 174.5623, exactly 2√7618.

Is 30472 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 30472?

It is a composite number with 16 divisors.

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    30472: is it prime? Factors, square root, binary, Roman numeral | WordGPT