16356
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 23964
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5152
- Möbius Function
- 0
- Radical
- 8178
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- 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
- Numbers that are the sum of 4 positive 6th powers.at n=38A003360
- Second-order Eulerian numbers: a(n) = 2^n - 2*n.at n=14A005803
- Expansion of (1-x)^(-1)/(1 - x - 2*x^2 + 2*x^3).at n=23A077866
- a(n) = A078152(2^n).at n=25A078157
- a(n) is the smallest integer such that A080383(a(n)) = n.at n=18A080393
- Records in A101119, which forms the nonzero differences of A006519 and A003484.at n=10A101120
- a(n) = 4^n - 4*n.at n=7A107584
- Sequence S with property that for n in S, a(n) = a(1) + a(2) +...+ a(n-1) and for n not in S, a(n) = n+1.at n=23A121173
- Sequence S with the following properties: (i) a(1)=2; (ii) for n in S, a(n)=a(1)+a(2)+...+a(n-1); (iii) for n not in S, a(n)=the smallest number different from a(1), ..., a(n-1) not breaking property (ii).at n=23A121175
- E.g.f.: (e^x - x)^2.at n=14A130102
- Partial sums of A000918, starting from index 1.at n=12A145654
- a(n) = p(n+1)^2 + 2*p(n) + 1; p(n) is the n-th prime number and n >= 1.at n=29A155819
- Triangle of polynomial coefficients related to the o.g.f.s of the RES1 polynomials.at n=27A160468
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+161)^2 = y^2.at n=26A206426
- a(n) = n*(n + 11)*(n + 22)/6.at n=36A264445
- 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 49", based on the 5-celled von Neumann neighborhood.at n=13A278468
- 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 201", based on the 5-celled von Neumann neighborhood.at n=13A286670
- 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 241", based on the 5-celled von Neumann neighborhood.at n=13A287096
- 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 387", based on the 5-celled von Neumann neighborhood.at n=13A287954
- a(n) = 27*n^2 - 21*n + 6 (n>=1).at n=24A304164