6316
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11060
- Proper Divisor Sum (Aliquot Sum)
- 4744
- 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
- 3156
- Möbius Function
- 0
- Radical
- 3158
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 124
- 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
- Number of projective meanders.at n=11A006663
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=17A031814
- a(n+1) = a(n)/2 if 2|a(n), a(n)/3 if 3|a(n), a(n)/5 if 5|a(n), a(n)/7 if 7|a(n), a(n)/11 if 11|a(n), a(n)/13 if 13|a(n), otherwise 17*a(n)+1.at n=35A057534
- a(n) = 4*a(n-1)-a(n-2)-3*a(n-3)+a(n-4), n>5.at n=7A107330
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 1), (0, -1), (1, -1), (1, 1)}.at n=9A151437
- Numerator of Hermite(n, 1/5).at n=4A158960
- Number of binary strings of length n with no substrings equal to 0011 0110 or 1001.at n=12A164506
- a(n) = 7*n*(n+1)/2 - 5.at n=41A166154
- Sequence showing kinds of "waves", built as follows in comments.at n=32A174401
- Number of line segments connecting exactly 10 points in an n x n grid of points.at n=34A177726
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=20A180319
- Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with increasing entries (0<=k<=n).at n=46A181304
- Number of rhombuses on a (n+1)X8 grid.at n=28A190096
- Inverse permutation to A190134.at n=39A190135
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4.at n=19A209988
- Rectangular array: (row n) = b**c, where b(h) = h, c(h) = binomial(2*n-4+2*h,n-2+h), n>=1, h>=1, and ** = convolution.at n=32A213853
- a(n) = n for n = 1, 2, 3; for n > 3: a(n) = number of partitions of n into preceding terms.at n=44A229362
- Number of partitions p of n into distinct parts such that max(p) > 2*min(p).at n=55A241037
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 137", based on the 5-celled von Neumann neighborhood.at n=22A270276
- a(n) = Sum_{d|n} min(d, n/d)^5.at n=49A297795