16236
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 45864
- Proper Divisor Sum (Aliquot Sum)
- 29628
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 2706
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Reverse digits of number of partitions of n.at n=43A004089
- Coefficient of x^7 in expansion of (1+x+x^2)^n.at n=8A005715
- Coordination sequence for sigma-CrFe, Position Xf.at n=32A009958
- a(n) = 3*(n - 2)*(5*n -11).at n=33A060785
- Numbers n for which there are exactly nine k such that n = k + reverse(k).at n=31A072433
- Form array in which n-th row is obtained by expanding (1+x+x^2)^n and taking the 5th column from the center.at n=7A098470
- Numbers that have exactly six prime factors counted with multiplicity (A046306) whose digit reversal is different and also has 6 prime factors (with multiplicity).at n=19A109026
- Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} having k drops (n>=0, k>=0). The drops of a ternary word on {0,1,2} are the subwords 10,20 and 21.at n=49A120906
- Even pseudoprimes to base 37.at n=19A130441
- a(n) = 729*n - 531.at n=22A156771
- The sum of all the entries in an n X n Cayley table for multiplication in Z_n.at n=32A160255
- Triangle read by rows: T(n,k) = round(c(n)/(c(k)*c(n-k))) where c are partial products of a sequence defined in comments.at n=39A172360
- Triangle read by rows: T(n,k) = round(c(n)/(c(k)*c(n-k))) where c are partial products of a sequence defined in comments.at n=40A172360
- Triangle read by rows: T(n,k) = round(c(n)/(c(k)*c(n-k))) where c are partial products of a sequence defined in comments.at n=41A172360
- a(n) = 2*(a(n-1) + a(n-2) + a(n-3)) - a(n-4) for n >= 4, with initial terms 0,1,0,1.at n=12A192234
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.at n=24A205644
- The number of 6 X 6 matrices of nonnegative integers such that the sum of the entries in the i-th row equals the sum of the i-th column for each i and the total sum equals n.at n=6A209904
- Years >= 1801 in which Christmas falls in Sukkot.at n=2A222419
- a(n) = n + floor( n^2/2 + n^3/3 ).at n=36A236773
- a(n) = Sum_{k=0..n} k^2 * A000041(k).at n=11A259279