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The number 2329

2329 is a composite number with 4 divisors. Its prime factorisation is 17 × 137. Divisors (4): 1, 17, 137, 2329.

Number

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How to work it out

  1. 1

    What is special about 2329: a semiprime: 17 × 137, the product of two primes.

  2. 2

    2329 is composite. Its prime factorisation is

    2329=17×1372329 = 17 \times 137
  3. 3

    The divisors add up to 2484; without 2329 itself that is 155, so 2329 is deficient (155 is less than 2329). Euler's totient φ(2329) = 2176 numbers up to 2329 share no factor with it.

  4. 4

    The digits of 2329 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 151 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2329 = 17 \times 137 \]

2329 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors2484
Euler totient φ(n)2176
Square5424241
Cube12633057289
Square root48.259714
Digit sum / digital root16 / 7
Collatz steps to 1151
Scientific notation2.329 × 10310^{3}

2329 in other forms

FormValue
In wordstwo thousand three hundred and twenty-nine
Roman numeralsMMCCCXXIX
Binary (base 2)100100011001
Octal (base 8)4431
Hexadecimal (base 16)919
Base 310012021
As time2329 seconds = 38 min 49 s

Is 2329 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 1)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 1)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 1)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 2329 a prime number?

No. 2329 = 17 × 137, so it is divisible by 17.

What are the factors of 2329?

1, 17, 137, 2329.

What is 2329 in binary?

100100011001 (hexadecimal 919, octal 4431).

What is the square root of 2329?

About 48.2597.

What is 2329 in Roman numerals?

MMCCCXXIX.

Is 2329 divisible by 3?

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

What is special about the number 2329?

2329 is a semiprime: 17 × 137, the product of two primes.

All about 2329

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