16966
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27000
- Proper Divisor Sum (Aliquot Sum)
- 10034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7968
- Möbius Function
- -1
- Radical
- 16966
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- A Fielder sequence.at n=17A001640
- Expansion of Product_{m>=1} (1+x^m)^12.at n=6A022577
- Numbers k such that 3^k + 4 is prime.at n=23A058958
- Number of isomorphism classes of simple quadrangulations of the sphere having n+2 vertices and n faces, minimal degree 3, with orientation-reversing isomorphisms permitted.at n=13A078666
- a(n)=floor{square((1*n^0+1*n^1+2*n^2+4*n^3)/(1*n^0+2*n^1+1*n^2))}.at n=33A086863
- a(n) = 2^n*P_n(4), 2^n times the Legendre polynomial of order n at 4.at n=4A098269
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k horizontal segments (a horizontal segment is a maximal string of horizontal steps).at n=29A104549
- Expansion of q * (psi(q^4) / phi(-q))^2 in powers of q where phi(), psi() are Ramanujan theta functions.at n=12A107035
- A scaled Legendre triangle.at n=40A110124
- Central coefficients of a scaled Legendre triangle.at n=4A110129
- Central coefficients of a scaled Legendre triangle.at n=8A110130
- Expansion of 1 / chi(q)^12 in powers of q where chi() is a Ramanujan theta function.at n=6A124863
- a(n) = 2*n*A071148(n).at n=16A177082
- Number of -n..n arrays x(0..4) of 5 elements with zero sum and no element more than one greater than the previous.at n=17A199849
- G.f. A(x) satisfies A(x) = 1+x^2/(1-x)*A(x^2/(1-x)).at n=21A201196
- Expansion of x * (psi(x^4) / phi(x))^2 in powers of x where phi(), psi() are Ramanujan theta functions.at n=12A260145
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=27A272558
- Number of odd enriched p-trees of weight n (all outdegrees are odd).at n=15A300439
- a(n) = 2*n^3 - 4*n^2 + 10*n - 2 (n>=1).at n=20A304161
- Coefficient of x^n in Product_{k>=1} (1+x^k)^(2*n).at n=6A304443