14193
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21840
- Proper Divisor Sum (Aliquot Sum)
- 7647
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8856
- Möbius Function
- 0
- Radical
- 4731
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=47A006950
- Number of partitions satisfying cn(2,5) < cn(1,5) + cn(4,5) and cn(3,5) < cn(1,5) + cn(4,5).at n=36A039889
- Numbers k such that the product of the digits of k is equal to the sum of the prime factors of k, counted with multiplicity.at n=31A065774
- Numbers n such that if p=prime(n), then p, p+6, p+12, p+18 are consecutive primes with p=6*k+5 for some k, where prime(n) denotes n-th prime.at n=23A090835
- Numbers n such that A001414(n) = sum of squared digits of n.at n=29A094908
- Multiples of 19 containing a 19 in their decimal representation.at n=26A121039
- Number of n X n binary arrays with all ones connected only in a 1000-1100-0111-0001 pattern in any orientation.at n=7A147275
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1100-0111-0001 pattern in any orientation.at n=16A147277
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1100-0111-0001 pattern in any orientation.at n=17A147277
- a(n) = (prime(n))^2 - (nonprime(n))^2.at n=30A161757
- Multiples of 19 whose digit reversal - 1 is also a multiple of 19.at n=34A166399
- Bisection of A006950 (the odd part).at n=23A233759
- a(n) = 541*(2^n - 1) - 5*n^4 - 30*n^3 - 130*n^2 - 375*n.at n=5A257450
- Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section.at n=16A286781
- Column 1 of A286781.at n=4A286786
- Number of non-necklace compositions of n.at n=14A329145
- a(n) = Sum_{x_1|n, x_2|n, x_3|n, x_4|n, x_5|n} gcd(x_1,x_2,x_3,x_4,x_5).at n=31A344139
- Numbers that are integer averages of first k odd primes for some k.at n=12A363477