16288
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32130
- Proper Divisor Sum (Aliquot Sum)
- 15842
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8128
- Möbius Function
- 0
- Radical
- 1018
- Omega Function (Ω)
- 6
- 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
- 53
- 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
- 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 63.at n=34A031561
- Numbers whose base-5 representation has exactly 7 runs.at n=6A043607
- Consider the 2^(n-1)-1 nonempty subsets S of {1, 2, ..., n-1}; a(n) gives number of such S for which it is impossible to partition n into parts from S such that each s in S is used at least once.at n=14A070880
- Numbers n such that A078142(n) = A078142(n+1) = A078142(n+2), where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=10A073938
- Number of triangular partitions of n of order 3.at n=32A084439
- Bisection of A086652.at n=5A086221
- a(n) = A000225(n+3)-A052955(n).at n=11A086652
- GegenbauerC[n,2,8].at n=3A144135
- Right edge of triangular table A138612.at n=34A166019
- Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differences.at n=36A200155
- Number of (w,x,y) with all terms in {0,...,n} and x != max(|w-x|,|x-y|).at n=25A213496
- Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 4 array.at n=9A219769
- Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX2 array.at n=6A222445
- T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nXk array.at n=29A222448
- T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nXk array.at n=34A222448
- Number of nX2 0..2 arrays with no more than floor(nX2/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=10A223468
- Number of (n+1) X 7 0..1 matrices with each 2 X 2 subblock idempotent.at n=12A224548
- 10-step Fibonacci sequence starting with 0,0,0,0,0,0,0,1,0,0.at n=24A251760
- Expansion of Product_{k>=1} (1 + (x+x^2)^k) / (1 - (x+x^2)^k).at n=11A266124
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 389", based on the 5-celled von Neumann neighborhood.at n=13A287977