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The number 29217

29217 is a composite number with 4 divisors. Its prime factorisation is 3 × 9739. Divisors (4): 1, 3, 9739, 29217.

Number

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How to work it out

  1. 1

    What is special about 29217: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 9739, the product of two primes.

  2. 2

    29217 is composite. Its prime factorisation is

    29217=3×973929217 = 3 \times 9739
  3. 3

    The divisors add up to 38960; without 29217 itself that is 9743, so 29217 is deficient (9743 is less than 29217). Euler's totient φ(29217) = 19476 numbers up to 29217 share no factor with it.

  4. 4

    The digits of 29217 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.

LaTeX source of the formulas on this page
\[ 29217 = 3 \times 9739 \]

29217 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors38960
Euler totient φ(n)19476
Square853633089
Cube24940597961313
Square root170.929810
Digit sum / digital root21 / 3
Collatz steps to 1165
Scientific notation2.9217 × 10410^{4}

29217 in other forms

FormValue
In wordstwenty-nine thousand two hundred and seventeen
Binary (base 2)111001000100001
Octal (base 8)71041
Hexadecimal (base 16)7221
Base 31111002010
As time29217 seconds = 8 h 6 min 57 s

Is 29217 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 (29217 ÷ 3 = 9739)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 3)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.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 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 29217 a prime number?

No. 29217 = 3 × 9739, so it is divisible by 3.

What are the factors of 29217?

1, 3, 9739, 29217.

What is 29217 in binary?

111001000100001 (hexadecimal 7221, octal 71041).

What is the square root of 29217?

About 170.9298.

Is 29217 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 29217?

29217 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 9739, the product of two primes.

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