## 13043

13,043 (thirteen thousand forty-three) is an odd five-digits prime number following 13042 and preceding 13044. In scientific notation, it is written as 1.3043 × 104. The sum of its digits is 11. It has a total of 1 prime factor and 2 positive divisors. There are 13,042 positive integers (up to 13043) that are relatively prime to 13043.

## Basic properties

• Is Prime? Yes
• Number parity Odd
• Number length 5
• Sum of Digits 11
• Digital Root 2

## Name

Short name 13 thousand 43 thirteen thousand forty-three

## Notation

Scientific notation 1.3043 × 104 13.043 × 103

## Prime Factorization of 13043

Prime Factorization 13043

Prime number
Distinct Factors Total Factors Radical ω(n) 1 Total number of distinct prime factors Ω(n) 1 Total number of prime factors rad(n) 13043 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 9.47601 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 13,043 is 13043. Since it has a total of 1 prime factor, 13,043 is a prime number.

## Divisors of 13043

2 divisors

 Even divisors 0 2 1 1
Total Divisors Sum of Divisors Aliquot Sum τ(n) 2 Total number of the positive divisors of n σ(n) 13044 Sum of all the positive divisors of n s(n) 1 Sum of the proper positive divisors of n A(n) 6522 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 114.206 Returns the nth root of the product of n divisors H(n) 1.99985 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 13,043 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 13,043) is 13,044, the average is 6,522.

## Other Arithmetic Functions (n = 13043)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 13042 Total number of positive integers not greater than n that are coprime to n λ(n) 13042 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1553 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 13,042 positive integers (less than 13,043) that are coprime with 13,043. And there are approximately 1,553 prime numbers less than or equal to 13,043.

## Divisibility of 13043

 m n mod m 2 3 4 5 6 7 8 9 1 2 3 3 5 2 3 2

13,043 is not divisible by any number less than or equal to 9.

## Classification of 13043

• Arithmetic
• Prime
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

• Prime Power
• Square Free

## Base conversion (13043)

Base System Value
2 Binary 11001011110011
3 Ternary 122220002
4 Quaternary 3023303
5 Quinary 404133
6 Senary 140215
8 Octal 31363
10 Decimal 13043
12 Duodecimal 766b
20 Vigesimal 1cc3
36 Base36 a2b

## Basic calculations (n = 13043)

### Multiplication

n×i
 n×2 26086 39129 52172 65215

### Division

ni
 n⁄2 6521.5 4347.67 3260.75 2608.6

### Exponentiation

ni
 n2 170119849 2218873190507 28940763023782801 377474372119199073443

### Nth Root

i√n
 2√n 114.206 23.5392 10.6867 6.65389

## 13043 as geometric shapes

### Circle

 Diameter 26086 81951.6 5.34447e+08

### Sphere

 Volume 9.29439e+12 2.13779e+09 81951.6

### Square

Length = n
 Perimeter 52172 1.7012e+08 18445.6

### Cube

Length = n
 Surface area 1.02072e+09 2.21887e+12 22591.1

### Equilateral Triangle

Length = n
 Perimeter 39129 7.36641e+07 11295.6

### Triangular Pyramid

Length = n
 Surface area 2.94656e+08 2.61497e+11 10649.6

## Cryptographic Hash Functions

md5 e2fcc738438c4e7ca4b605ef8764db73 04710214c0d0535c0405e10b9a237d68ea94cd3a 1bc1a83f9bbfbbf9cfb4c73e228c027664571026a8a4d1e38f923e93b44cd7ca 51c608c8f4f9de2da0c4f281af163625ea59f48fe64ff4a1bc54bb0a29b169feb5ad7de7918aa6bac71a0e3c3d35caf00113a1d68169e4dd2756526ae9dde571 2e9fcff91069a1dcb55c8fff09f1972a635dab9e
{"ft_lang_label":"__label__en","ft_lang_prob":0.6184611,"math_prob":0.98464817,"size":4487,"snap":"2020-34-2020-40","text_gpt3_token_len":1599,"char_repetition_ratio":0.12290876,"word_repetition_ratio":0.02980626,"special_character_ratio":0.44729218,"punctuation_ratio":0.07751938,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9961044,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-22T02:38:43Z\",\"WARC-Record-ID\":\"<urn:uuid:a6a81416-30a4-4fc6-a754-4d8099befc70>\",\"Content-Length\":\"47850\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d3dcbea6-e70b-4bcc-b3db-49baf2077867>\",\"WARC-Concurrent-To\":\"<urn:uuid:e1fe6555-b121-4ecd-8a17-8dd85749e2bb>\",\"WARC-IP-Address\":\"46.105.53.190\",\"WARC-Target-URI\":\"https://metanumbers.com/13043\",\"WARC-Payload-Digest\":\"sha1:5RCXKMA4C5BY3ZMACBNDVKG2E3OACQUF\",\"WARC-Block-Digest\":\"sha1:JSHOPYEDRXFAEHAQNZVCEQYSW4RBY3KY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400202686.56_warc_CC-MAIN-20200922000730-20200922030730-00358.warc.gz\"}"}