6052
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 5288
- 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
- 2816
- Möbius Function
- 0
- Radical
- 3026
- 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
- 67
- 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
- yes
- Odd
- no
Appears in sequences
- Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.at n=21A006128
- Number of lines through exactly 6 points of an n X n grid of points.at n=45A018813
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite LOV = Lovdarite K4Na12 [Be8Si28O72].18H2O starting with a T1 atom.at n=12A019139
- a(n) = d(n)/2, where d = A026040.at n=30A026041
- Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap.at n=38A028305
- Multiplicity of highest weight (or singular) vectors associated with character chi_79 of Monster module.at n=37A034467
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 5).at n=44A035567
- Revert transform of (1 - x + 2x^2 - x^3)/(1 + 2x^2).at n=12A049142
- a(n) = floor(47*(n-3/2)^(3/2)).at n=25A050256
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=29A063360
- Number of basis partitions of n+81 with Durfee square size 9.at n=20A069252
- Number of partitions of n having nonnegative even rank (the rank of a partition is the largest part minus the number of parts).at n=36A101709
- a(n) = 8*n^2 + 8*n + 4.at n=27A108099
- Inverse of Riordan array (1/(1+x+x^2),x/(1+x)^2).at n=49A122919
- Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 7 which is symmetric after a rotation by 180 degrees.at n=4A123803
- Sums of three consecutive hexagonal numbers.at n=31A129109
- G.f.: A(x) = x - A(-A(x)^2).at n=12A141366
- Sixth degree product sequence: a(n) = product( 1 +4*cos(k*Pi/n)^2 +16*cos(k*Pi/n)^4 +64*cos(k*Pi/n)^6, k=1..(n-1)/2 ).at n=9A152116
- Numbers n such that 5^n-6 is prime.at n=22A165701
- Number of nXnXn triangular nonnegative integer arrays with all sums of an element and its neighbors <= 4.at n=4A166176