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The number 29237

29237 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 173. Divisors (6): 1, 13, 169, 173, 2249, 29237.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    29237 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

    29237 is composite. Its prime factorisation is

    29237=132Ɨ17329237 = 13^{2} \times 173
  3. 3

    The divisors add up to 31842; without 29237 itself that is 2605, so 29237 is deficient (2605 is less than 29237). Euler's totient φ(29237) = 26832 numbers up to 29237 share no factor with it.

  4. 4

    The digits of 29237 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.

LaTeX source of the formulas on this page
\[ 29237 = 13^{2} \times 173 \]

29237 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors31842
Euler totient φ(n)26832
Square854802169
Cube24991851015053
Square root170.988304 (= 13√173)
Digit sum / digital root23 / 5
Collatz steps to 1134
Scientific notation2.9237 Ɨ 10410^{4}

29237 in other forms

FormValue
In wordstwenty-nine thousand two hundred and thirty-seven
Binary (base 2)111001000110101
Octal (base 8)71065
Hexadecimal (base 16)7235
Base 31111002212
As time29237 seconds = 8 h 7 min 17 s

Is 29237 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).
3No (remainder 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 29237 a prime number?

No. 29237 = 13213^{2} Ɨ 173, so it is divisible by 13.

What are the factors of 29237?

1, 13, 169, 173, 2249, 29237.

What is 29237 in binary?

111001000110101 (hexadecimal 7235, octal 71065).

What is the square root of 29237?

About 170.9883, exactly 13√173.

Is 29237 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 29237?

It is a composite number with 6 divisors.

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    29237: is it prime? Factors, square root, binary, Roman numeral | WordGPT