16300
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 35588
- Proper Divisor Sum (Aliquot Sum)
- 19288
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 1630
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 159
- 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 partitions of n with equal number of parts congruent to each of 0 and 3 (mod 5).at n=44A035554
- Triangle in A059032 read by rows from left to right.at n=30A059033
- Triangle in A059032 read by rows in natural order.at n=30A059034
- Row sums of A104975.at n=52A104976
- Row sums of A104975.at n=53A104976
- Negative numbers written in a bits-of-Pi/primorial base system.at n=11A109839
- a(1)=1, a(n)=a(n-1)+n^1 if n odd, a(n)=a(n-1)+ n^3 if n is even.at n=18A140145
- Numbers k such that (sum of base-2 digits of k) = (sum of base-10 digits of k) = 10.at n=31A152207
- E.g.f. satisfies: A(x) = 1 + x*Sum_{n>=0} (A(x)^2 - 1)^n/n!.at n=5A192949
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x+3)^k for 0 <= k <= n.at n=38A248811
- Number of starting positions of Kayles with n pieces such that the 2nd player can win (P-positions).at n=47A263453
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 149", based on the 5-celled von Neumann neighborhood.at n=13A279179
- Decimal representation of the x-axis, from the left edge 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=13A281676
- Number of compositions (ordered partitions) of n into decimal palindromes (A002113).at n=15A282584
- Number of n element multisets of the 10th roots of unity with zero sum.at n=39A321416
- Partial sums of A323183.at n=43A323187
- Numbers k whose binary expansion starts with the concatenation of the binary expansions of the run lengths in binary expansion of k.at n=24A348111
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of exact wrapping probability for site percolation on an n X n 2D square lattice with periodic boundary conditions. This is for the probability that it wraps in both dimensions.at n=45A365949