6339
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8456
- Proper Divisor Sum (Aliquot Sum)
- 2117
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 1
- Radical
- 6339
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Divisors of 2^44 - 1.at n=22A003549
- a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 odd positive integers}.at n=12A024202
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 25.at n=30A031523
- Sort then Add, a(1)=15.at n=13A033898
- Sort then Add, a(1)=21.at n=12A033901
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048225.at n=19A048235
- Number of incongruent ways to tile a 4 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=52A068929
- Subtriangle of generalized Catalan triangle CM(1,2) = A116880.at n=17A116872
- Generalized Catalan triangle, called CM(1,2).at n=23A116880
- Numbers such that all subsets of {a(1)^2,...,a(n)^2} have a different sum.at n=24A138857
- Starts with 2; has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and sequence and first differences have no term in common. When there is a choice in choosing the next term in the first differences, choose the smallest number not yet present in either the sequence or its first differences.at n=28A139334
- Coefficient of x in the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=15A192952
- Total sum of parts of multiplicity 5 in all partitions of n.at n=32A222733
- Number of partitions p of n such that (maximal multiplicity of the parts of p) > (maximal part of p).at n=40A240314
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A253833
- Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A253835
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=4A253841
- Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A253842
- Numbers m, such that the smallest prime factor of 1+78557*2^m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}.at n=18A258095
- Expansion of Product_{k>=1} 1/(1 - x^(2*k+3))^k.at n=47A263352