WordGPT

The number 29349

29349 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1087. Divisors (8): 1, 3, 9, 27, 1087, 3261, 9783, 29349.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 29349: a Harshad number: divisible by its digit sum 27.

  2. 2

    29349 is composite. Its prime factorisation is

    29349=33×108729349 = 3^{3} \times 1087
  3. 3

    The divisors add up to 43520; without 29349 itself that is 14171, so 29349 is deficient (14171 is less than 29349). Euler's totient φ(29349) = 19548 numbers up to 29349 share no factor with it.

  4. 4

    The digits of 29349 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.

LaTeX source of the formulas on this page
\[ 29349 = 3^{3} \times 1087 \]

29349 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors43520
Euler totient φ(n)19548
Square861363801
Cube25280166195549
Square root171.315498 (= 3√3261)
Digit sum / digital root27 / 9
Collatz steps to 1178
Scientific notation2.9349 × 10410^{4}

29349 in other forms

FormValue
In wordstwenty-nine thousand three hundred and forty-nine
Binary (base 2)111001010100101
Octal (base 8)71245
Hexadecimal (base 16)72A5
Base 31111021000
As time29349 seconds = 8 h 9 min 9 s

Is 29349 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 (29349 ÷ 3 = 9783)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.
9Yes (29349 ÷ 9 = 3261)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 1)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 29349 a prime number?

No. 29349 = 333^{3} × 1087, so it is divisible by 3.

What are the factors of 29349?

1, 3, 9, 27, 1087, 3261, 9783, 29349.

What is 29349 in binary?

111001010100101 (hexadecimal 72A5, octal 71245).

What is the square root of 29349?

About 171.3155, exactly 3√3261.

Is 29349 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 29349?

29349 is a Harshad number: divisible by its digit sum 27.

Find the next one

Nearby numbers

    29349: is it prime? Factors, square root, binary, Roman numeral | WordGPT