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The number 21337

21337 is a composite number with 4 divisors. Its prime factorisation is 19 × 1123. Divisors (4): 1, 19, 1123, 21337.

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How to work it out

  1. 1

    What is special about 21337: a semiprime: 19 × 1123, the product of two primes.

  2. 2

    21337 is composite. Its prime factorisation is

    21337=19×112321337 = 19 \times 1123
  3. 3

    The divisors add up to 22480; without 21337 itself that is 1143, so 21337 is deficient (1143 is less than 21337). Euler's totient φ(21337) = 20196 numbers up to 21337 share no factor with it.

  4. 4

    The digits of 21337 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 56 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21337 = 19 \times 1123 \]

21337 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors22480
Euler totient φ(n)20196
Square455267569
Cube9714044119753
Square root146.071900
Digit sum / digital root16 / 7
Collatz steps to 156
Scientific notation2.1337 × 10410^{4}

21337 in other forms

FormValue
In wordstwenty-one thousand three hundred and thirty-seven
Binary (base 2)101001101011001
Octal (base 8)51531
Hexadecimal (base 16)5359
Base 31002021021
As time21337 seconds = 5 h 55 min 37 s

Is 21337 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 2)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 1)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 7)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 21337 a prime number?

No. 21337 = 19 × 1123, so it is divisible by 19.

What are the factors of 21337?

1, 19, 1123, 21337.

What is 21337 in binary?

101001101011001 (hexadecimal 5359, octal 51531).

What is the square root of 21337?

About 146.0719.

Is 21337 divisible by 3?

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

What is special about the number 21337?

21337 is a semiprime: 19 × 1123, the product of two primes.

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