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The number 31029

31029 is a composite number with 4 divisors. Its prime factorisation is 3 × 10343. Divisors (4): 1, 3, 10343, 31029.

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How to work it out

  1. 1

    What is special about 31029: a semiprime: 3 × 10343, the product of two primes.

  2. 2

    31029 is composite. Its prime factorisation is

    31029=3×1034331029 = 3 \times 10343
  3. 3

    The divisors add up to 41376; without 31029 itself that is 10347, so 31029 is deficient (10347 is less than 31029). Euler's totient φ(31029) = 20684 numbers up to 31029 share no factor with it.

  4. 4

    The digits of 31029 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31029 = 3 \times 10343 \]

31029 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41376
Euler totient φ(n)20684
Square962798841
Cube29874685237389
Square root176.150504
Digit sum / digital root15 / 6
Collatz steps to 154
Scientific notation3.1029 × 10410^{4}

31029 in other forms

FormValue
In wordsthirty-one thousand and twenty-nine
Binary (base 2)111100100110101
Octal (base 8)74465
Hexadecimal (base 16)7935
Base 31120120020
As time31029 seconds = 8 h 37 min 9 s

Is 31029 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 (31029 ÷ 3 = 10343)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 4)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 5)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.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 31029 a prime number?

No. 31029 = 3 × 10343, so it is divisible by 3.

What are the factors of 31029?

1, 3, 10343, 31029.

What is 31029 in binary?

111100100110101 (hexadecimal 7935, octal 74465).

What is the square root of 31029?

About 176.1505.

Is 31029 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 31029?

31029 is a semiprime: 3 × 10343, the product of two primes.

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