14843
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14844
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14842
- Möbius Function
- -1
- Radical
- 14843
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1739
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime containing n-th square as substring.at n=22A029948
- Primes that are palindromic in base 9.at n=31A029977
- Numbers whose set of base-9 digits is {2,3}.at n=34A032809
- Smallest prime with "n^2" as central digit(s).at n=22A038370
- Numbers having four 2's in base 9.at n=22A043464
- Primes with multiplicative persistence value 5.at n=34A046505
- a(n) = floor(Pi^n/n^Pi).at n=15A062719
- Smallest prime containing the n-th square in decimal notation.at n=21A065144
- Balanced primes of order six.at n=15A096698
- Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime.at n=35A100953
- Maximal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}.at n=34A110610
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=26A119595
- Primes congruent to 45 mod 49.at n=39A142452
- Primes congruent to 3 mod 53.at n=39A142533
- Primes congruent to 48 mod 55.at n=40A142635
- Primes congruent to 34 mod 59.at n=28A142761
- Primes congruent to 20 mod 61.at n=26A142818
- Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes.at n=32A156116
- Honaker emirps: terms in A033548 that are emirps.at n=20A161118
- Shortest partition of n with maximal product, sorted descending & considered as a base-5 number.at n=19A178683